0.453 * [progress]: [Phase 1 of 3] Setting up. 0.002 * * * [progress]: [1/2] Preparing points 0.129 * * * [progress]: [2/2] Setting up program. 0.135 * [progress]: [Phase 2 of 3] Improving. 0.135 * * * * [progress]: [ 1 / 1 ] simplifiying candidate # 0.138 * [simplify]: Simplifying: (/ (- (+ f n)) (- f n)) 0.140 * * [simplify]: iteration 0: 6 enodes 0.146 * * [simplify]: iteration 1: 13 enodes 0.149 * * [simplify]: iteration 2: 16 enodes 0.152 * * [simplify]: iteration 3: 20 enodes 0.157 * * [simplify]: iteration 4: 26 enodes 0.162 * * [simplify]: iteration 5: 30 enodes 0.168 * * [simplify]: iteration 6: 32 enodes 0.175 * * [simplify]: iteration complete: 32 enodes 0.175 * * [simplify]: Extracting #0: cost 1 inf + 0 0.176 * * [simplify]: Extracting #1: cost 9 inf + 0 0.176 * * [simplify]: Extracting #2: cost 14 inf + 0 0.176 * * [simplify]: Extracting #3: cost 11 inf + 43 0.177 * * [simplify]: Extracting #4: cost 2 inf + 860 0.177 * * [simplify]: Extracting #5: cost 0 inf + 1104 0.178 * [simplify]: Simplified to: (/ (- (+ n f)) (- f n)) 0.181 * * [progress]: iteration 1 / 4 0.181 * * * [progress]: picking best candidate 0.185 * * * * [pick]: Picked # 0.185 * * * [progress]: localizing error 0.197 * * * [progress]: generating rewritten candidates 0.197 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.238 * * * [progress]: generating series expansions 0.238 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.245 * [backup-simplify]: Simplify (/ (- (+ f n)) (- f n)) into (* -1 (/ (+ n f) (- f n))) 0.245 * [approximate]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in (f n) around 0 0.247 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in n 0.247 * [taylor]: Taking taylor expansion of -1 in n 0.247 * [backup-simplify]: Simplify -1 into -1 0.247 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in n 0.247 * [taylor]: Taking taylor expansion of (+ n f) in n 0.247 * [taylor]: Taking taylor expansion of n in n 0.247 * [backup-simplify]: Simplify 0 into 0 0.247 * [backup-simplify]: Simplify 1 into 1 0.247 * [taylor]: Taking taylor expansion of f in n 0.247 * [backup-simplify]: Simplify f into f 0.247 * [taylor]: Taking taylor expansion of (- f n) in n 0.247 * [taylor]: Taking taylor expansion of f in n 0.247 * [backup-simplify]: Simplify f into f 0.247 * [taylor]: Taking taylor expansion of n in n 0.247 * [backup-simplify]: Simplify 0 into 0 0.247 * [backup-simplify]: Simplify 1 into 1 0.248 * [backup-simplify]: Simplify (+ 0 f) into f 0.249 * [backup-simplify]: Simplify (- 0) into 0 0.249 * [backup-simplify]: Simplify (+ f 0) into f 0.249 * [backup-simplify]: Simplify (/ f f) into 1 0.249 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 0.249 * [taylor]: Taking taylor expansion of -1 in f 0.249 * [backup-simplify]: Simplify -1 into -1 0.249 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 0.249 * [taylor]: Taking taylor expansion of (+ n f) in f 0.249 * [taylor]: Taking taylor expansion of n in f 0.249 * [backup-simplify]: Simplify n into n 0.249 * [taylor]: Taking taylor expansion of f in f 0.249 * [backup-simplify]: Simplify 0 into 0 0.249 * [backup-simplify]: Simplify 1 into 1 0.249 * [taylor]: Taking taylor expansion of (- f n) in f 0.249 * [taylor]: Taking taylor expansion of f in f 0.249 * [backup-simplify]: Simplify 0 into 0 0.249 * [backup-simplify]: Simplify 1 into 1 0.249 * [taylor]: Taking taylor expansion of n in f 0.249 * [backup-simplify]: Simplify n into n 0.249 * [backup-simplify]: Simplify (+ n 0) into n 0.249 * [backup-simplify]: Simplify (- n) into (- n) 0.249 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 0.249 * [backup-simplify]: Simplify (/ n (- n)) into -1 0.249 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 0.249 * [taylor]: Taking taylor expansion of -1 in f 0.249 * [backup-simplify]: Simplify -1 into -1 0.249 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 0.249 * [taylor]: Taking taylor expansion of (+ n f) in f 0.250 * [taylor]: Taking taylor expansion of n in f 0.250 * [backup-simplify]: Simplify n into n 0.250 * [taylor]: Taking taylor expansion of f in f 0.250 * [backup-simplify]: Simplify 0 into 0 0.250 * [backup-simplify]: Simplify 1 into 1 0.250 * [taylor]: Taking taylor expansion of (- f n) in f 0.250 * [taylor]: Taking taylor expansion of f in f 0.250 * [backup-simplify]: Simplify 0 into 0 0.250 * [backup-simplify]: Simplify 1 into 1 0.250 * [taylor]: Taking taylor expansion of n in f 0.250 * [backup-simplify]: Simplify n into n 0.250 * [backup-simplify]: Simplify (+ n 0) into n 0.250 * [backup-simplify]: Simplify (- n) into (- n) 0.250 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 0.250 * [backup-simplify]: Simplify (/ n (- n)) into -1 0.251 * [backup-simplify]: Simplify (* -1 -1) into 1 0.251 * [taylor]: Taking taylor expansion of 1 in n 0.251 * [backup-simplify]: Simplify 1 into 1 0.251 * [backup-simplify]: Simplify 1 into 1 0.253 * [backup-simplify]: Simplify (+ 0 1) into 1 0.253 * [backup-simplify]: Simplify (- 0) into 0 0.254 * [backup-simplify]: Simplify (+ 1 0) into 1 0.254 * [backup-simplify]: Simplify (- (/ 1 (- n)) (+ (* -1 (/ 1 (- n))))) into (- (* 2 (/ 1 n))) 0.254 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 n)))) (* 0 -1)) into (* 2 (/ 1 n)) 0.255 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 0.255 * [taylor]: Taking taylor expansion of 2 in n 0.255 * [backup-simplify]: Simplify 2 into 2 0.255 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.255 * [taylor]: Taking taylor expansion of n in n 0.255 * [backup-simplify]: Simplify 0 into 0 0.255 * [backup-simplify]: Simplify 1 into 1 0.255 * [backup-simplify]: Simplify (/ 1 1) into 1 0.256 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.257 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 0.257 * [backup-simplify]: Simplify 0 into 0 0.257 * [backup-simplify]: Simplify 0 into 0 0.257 * [backup-simplify]: Simplify (+ 0 0) into 0 0.258 * [backup-simplify]: Simplify (- 0) into 0 0.258 * [backup-simplify]: Simplify (+ 0 0) into 0 0.259 * [backup-simplify]: Simplify (- (/ 0 (- n)) (+ (* -1 (/ 0 (- n))) (* (- (* 2 (/ 1 n))) (/ 1 (- n))))) into (- (* 2 (/ 1 (pow n 2)))) 0.260 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow n 2))))) (+ (* 0 (- (* 2 (/ 1 n)))) (* 0 -1))) into (* 2 (/ 1 (pow n 2))) 0.260 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 0.260 * [taylor]: Taking taylor expansion of 2 in n 0.260 * [backup-simplify]: Simplify 2 into 2 0.260 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 0.260 * [taylor]: Taking taylor expansion of (pow n 2) in n 0.260 * [taylor]: Taking taylor expansion of n in n 0.260 * [backup-simplify]: Simplify 0 into 0 0.260 * [backup-simplify]: Simplify 1 into 1 0.261 * [backup-simplify]: Simplify (* 1 1) into 1 0.261 * [backup-simplify]: Simplify (/ 1 1) into 1 0.262 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.263 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.264 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.265 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.266 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 0.266 * [backup-simplify]: Simplify 0 into 0 0.267 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.269 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 0.269 * [backup-simplify]: Simplify 0 into 0 0.269 * [backup-simplify]: Simplify 0 into 0 0.269 * [backup-simplify]: Simplify (+ 0 0) into 0 0.270 * [backup-simplify]: Simplify (- 0) into 0 0.270 * [backup-simplify]: Simplify (+ 0 0) into 0 0.271 * [backup-simplify]: Simplify (- (/ 0 (- n)) (+ (* -1 (/ 0 (- n))) (* (- (* 2 (/ 1 n))) (/ 0 (- n))) (* (- (* 2 (/ 1 (pow n 2)))) (/ 1 (- n))))) into (- (* 2 (/ 1 (pow n 3)))) 0.272 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow n 3))))) (+ (* 0 (- (* 2 (/ 1 (pow n 2))))) (+ (* 0 (- (* 2 (/ 1 n)))) (* 0 -1)))) into (* 2 (/ 1 (pow n 3))) 0.272 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 0.272 * [taylor]: Taking taylor expansion of 2 in n 0.272 * [backup-simplify]: Simplify 2 into 2 0.272 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 0.272 * [taylor]: Taking taylor expansion of (pow n 3) in n 0.272 * [taylor]: Taking taylor expansion of n in n 0.272 * [backup-simplify]: Simplify 0 into 0 0.272 * [backup-simplify]: Simplify 1 into 1 0.273 * [backup-simplify]: Simplify (* 1 1) into 1 0.273 * [backup-simplify]: Simplify (* 1 1) into 1 0.274 * [backup-simplify]: Simplify (/ 1 1) into 1 0.275 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.276 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.277 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.278 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.278 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.279 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.280 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.281 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.282 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.284 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.284 * [backup-simplify]: Simplify 0 into 0 0.284 * [backup-simplify]: Simplify 1 into 1 0.284 * [backup-simplify]: Simplify (/ (- (+ (/ 1 f) (/ 1 n))) (- (/ 1 f) (/ 1 n))) into (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) 0.284 * [approximate]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in (f n) around 0 0.284 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in n 0.284 * [taylor]: Taking taylor expansion of -1 in n 0.284 * [backup-simplify]: Simplify -1 into -1 0.284 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in n 0.284 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 0.284 * [taylor]: Taking taylor expansion of (/ 1 f) in n 0.284 * [taylor]: Taking taylor expansion of f in n 0.284 * [backup-simplify]: Simplify f into f 0.284 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 0.284 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.284 * [taylor]: Taking taylor expansion of n in n 0.284 * [backup-simplify]: Simplify 0 into 0 0.284 * [backup-simplify]: Simplify 1 into 1 0.285 * [backup-simplify]: Simplify (/ 1 1) into 1 0.285 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 0.285 * [taylor]: Taking taylor expansion of (/ 1 f) in n 0.285 * [taylor]: Taking taylor expansion of f in n 0.285 * [backup-simplify]: Simplify f into f 0.285 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 0.285 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.285 * [taylor]: Taking taylor expansion of n in n 0.285 * [backup-simplify]: Simplify 0 into 0 0.285 * [backup-simplify]: Simplify 1 into 1 0.286 * [backup-simplify]: Simplify (/ 1 1) into 1 0.286 * [backup-simplify]: Simplify (+ 0 1) into 1 0.287 * [backup-simplify]: Simplify (- 1) into -1 0.287 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.288 * [backup-simplify]: Simplify (/ 1 -1) into -1 0.288 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 0.288 * [taylor]: Taking taylor expansion of -1 in f 0.288 * [backup-simplify]: Simplify -1 into -1 0.288 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 0.288 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 0.288 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.288 * [taylor]: Taking taylor expansion of f in f 0.288 * [backup-simplify]: Simplify 0 into 0 0.288 * [backup-simplify]: Simplify 1 into 1 0.288 * [backup-simplify]: Simplify (/ 1 1) into 1 0.289 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.289 * [taylor]: Taking taylor expansion of n in f 0.289 * [backup-simplify]: Simplify n into n 0.289 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.289 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 0.289 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.289 * [taylor]: Taking taylor expansion of f in f 0.289 * [backup-simplify]: Simplify 0 into 0 0.289 * [backup-simplify]: Simplify 1 into 1 0.290 * [backup-simplify]: Simplify (/ 1 1) into 1 0.290 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.290 * [taylor]: Taking taylor expansion of n in f 0.290 * [backup-simplify]: Simplify n into n 0.290 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.290 * [backup-simplify]: Simplify (+ 1 0) into 1 0.291 * [backup-simplify]: Simplify (+ 1 0) into 1 0.291 * [backup-simplify]: Simplify (/ 1 1) into 1 0.291 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 0.291 * [taylor]: Taking taylor expansion of -1 in f 0.291 * [backup-simplify]: Simplify -1 into -1 0.291 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 0.291 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 0.291 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.291 * [taylor]: Taking taylor expansion of f in f 0.291 * [backup-simplify]: Simplify 0 into 0 0.292 * [backup-simplify]: Simplify 1 into 1 0.292 * [backup-simplify]: Simplify (/ 1 1) into 1 0.292 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.292 * [taylor]: Taking taylor expansion of n in f 0.292 * [backup-simplify]: Simplify n into n 0.292 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.292 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 0.292 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.292 * [taylor]: Taking taylor expansion of f in f 0.292 * [backup-simplify]: Simplify 0 into 0 0.292 * [backup-simplify]: Simplify 1 into 1 0.293 * [backup-simplify]: Simplify (/ 1 1) into 1 0.293 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.293 * [taylor]: Taking taylor expansion of n in f 0.293 * [backup-simplify]: Simplify n into n 0.293 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.293 * [backup-simplify]: Simplify (+ 1 0) into 1 0.294 * [backup-simplify]: Simplify (+ 1 0) into 1 0.294 * [backup-simplify]: Simplify (/ 1 1) into 1 0.295 * [backup-simplify]: Simplify (* -1 1) into -1 0.295 * [taylor]: Taking taylor expansion of -1 in n 0.295 * [backup-simplify]: Simplify -1 into -1 0.295 * [backup-simplify]: Simplify -1 into -1 0.296 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.296 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 0.297 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.297 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 0.297 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) 0.297 * [backup-simplify]: Simplify (- (/ (/ 1 n) 1) (+ (* 1 (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 n)) 0.298 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 n))) (* 0 1)) into (- (* 2 (/ 1 n))) 0.298 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 0.298 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 0.298 * [taylor]: Taking taylor expansion of 2 in n 0.298 * [backup-simplify]: Simplify 2 into 2 0.298 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.298 * [taylor]: Taking taylor expansion of n in n 0.298 * [backup-simplify]: Simplify 0 into 0 0.298 * [backup-simplify]: Simplify 1 into 1 0.299 * [backup-simplify]: Simplify (/ 1 1) into 1 0.300 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.300 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 0.301 * [backup-simplify]: Simplify (- 0) into 0 0.301 * [backup-simplify]: Simplify 0 into 0 0.301 * [backup-simplify]: Simplify 0 into 0 0.302 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.302 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 0.302 * [backup-simplify]: Simplify (+ 0 0) into 0 0.303 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.304 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 0.304 * [backup-simplify]: Simplify (- 0) into 0 0.304 * [backup-simplify]: Simplify (+ 0 0) into 0 0.305 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 (pow n 2))) 0.306 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 (pow n 2)))) (+ (* 0 (* 2 (/ 1 n))) (* 0 1))) into (- (* 2 (/ 1 (pow n 2)))) 0.306 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 0.306 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 0.306 * [taylor]: Taking taylor expansion of 2 in n 0.306 * [backup-simplify]: Simplify 2 into 2 0.306 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 0.306 * [taylor]: Taking taylor expansion of (pow n 2) in n 0.306 * [taylor]: Taking taylor expansion of n in n 0.306 * [backup-simplify]: Simplify 0 into 0 0.306 * [backup-simplify]: Simplify 1 into 1 0.307 * [backup-simplify]: Simplify (* 1 1) into 1 0.307 * [backup-simplify]: Simplify (/ 1 1) into 1 0.308 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.309 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.310 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.311 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.312 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 0.312 * [backup-simplify]: Simplify (- 0) into 0 0.312 * [backup-simplify]: Simplify 0 into 0 0.313 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.314 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 0.314 * [backup-simplify]: Simplify (- 0) into 0 0.314 * [backup-simplify]: Simplify 0 into 0 0.314 * [backup-simplify]: Simplify 0 into 0 0.315 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.316 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 0.316 * [backup-simplify]: Simplify (+ 0 0) into 0 0.317 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.317 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 0.317 * [backup-simplify]: Simplify (- 0) into 0 0.318 * [backup-simplify]: Simplify (+ 0 0) into 0 0.319 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ 0 1)) (* (* 2 (/ 1 (pow n 2))) (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 (pow n 3))) 0.320 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 (pow n 3)))) (+ (* 0 (* 2 (/ 1 (pow n 2)))) (+ (* 0 (* 2 (/ 1 n))) (* 0 1)))) into (- (* 2 (/ 1 (pow n 3)))) 0.320 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 0.320 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 0.320 * [taylor]: Taking taylor expansion of 2 in n 0.320 * [backup-simplify]: Simplify 2 into 2 0.320 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 0.320 * [taylor]: Taking taylor expansion of (pow n 3) in n 0.320 * [taylor]: Taking taylor expansion of n in n 0.320 * [backup-simplify]: Simplify 0 into 0 0.320 * [backup-simplify]: Simplify 1 into 1 0.321 * [backup-simplify]: Simplify (* 1 1) into 1 0.321 * [backup-simplify]: Simplify (* 1 1) into 1 0.321 * [backup-simplify]: Simplify (/ 1 1) into 1 0.322 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.323 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.324 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.325 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.326 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.326 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.327 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.328 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.329 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.330 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.330 * [backup-simplify]: Simplify (- 0) into 0 0.330 * [backup-simplify]: Simplify 0 into 0 0.331 * [backup-simplify]: Simplify -1 into -1 0.331 * [backup-simplify]: Simplify (/ (- (+ (/ 1 (- f)) (/ 1 (- n)))) (- (/ 1 (- f)) (/ 1 (- n)))) into (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) 0.331 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in (f n) around 0 0.331 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in n 0.331 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 0.331 * [taylor]: Taking taylor expansion of (/ 1 f) in n 0.331 * [taylor]: Taking taylor expansion of f in n 0.331 * [backup-simplify]: Simplify f into f 0.331 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 0.331 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.331 * [taylor]: Taking taylor expansion of n in n 0.331 * [backup-simplify]: Simplify 0 into 0 0.331 * [backup-simplify]: Simplify 1 into 1 0.332 * [backup-simplify]: Simplify (/ 1 1) into 1 0.332 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 0.332 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.332 * [taylor]: Taking taylor expansion of n in n 0.332 * [backup-simplify]: Simplify 0 into 0 0.332 * [backup-simplify]: Simplify 1 into 1 0.332 * [backup-simplify]: Simplify (/ 1 1) into 1 0.332 * [taylor]: Taking taylor expansion of (/ 1 f) in n 0.332 * [taylor]: Taking taylor expansion of f in n 0.332 * [backup-simplify]: Simplify f into f 0.332 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 0.333 * [backup-simplify]: Simplify (+ 0 1) into 1 0.333 * [backup-simplify]: Simplify (+ 1 0) into 1 0.333 * [backup-simplify]: Simplify (/ 1 1) into 1 0.333 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 0.333 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 0.333 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.334 * [taylor]: Taking taylor expansion of f in f 0.334 * [backup-simplify]: Simplify 0 into 0 0.334 * [backup-simplify]: Simplify 1 into 1 0.334 * [backup-simplify]: Simplify (/ 1 1) into 1 0.334 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.334 * [taylor]: Taking taylor expansion of n in f 0.334 * [backup-simplify]: Simplify n into n 0.334 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.334 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 0.334 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.334 * [taylor]: Taking taylor expansion of n in f 0.334 * [backup-simplify]: Simplify n into n 0.334 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.334 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.334 * [taylor]: Taking taylor expansion of f in f 0.334 * [backup-simplify]: Simplify 0 into 0 0.334 * [backup-simplify]: Simplify 1 into 1 0.335 * [backup-simplify]: Simplify (/ 1 1) into 1 0.335 * [backup-simplify]: Simplify (+ 1 0) into 1 0.335 * [backup-simplify]: Simplify (- 1) into -1 0.336 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.336 * [backup-simplify]: Simplify (/ 1 -1) into -1 0.336 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 0.336 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 0.336 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.336 * [taylor]: Taking taylor expansion of f in f 0.336 * [backup-simplify]: Simplify 0 into 0 0.336 * [backup-simplify]: Simplify 1 into 1 0.337 * [backup-simplify]: Simplify (/ 1 1) into 1 0.337 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.337 * [taylor]: Taking taylor expansion of n in f 0.337 * [backup-simplify]: Simplify n into n 0.337 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.337 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 0.337 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.337 * [taylor]: Taking taylor expansion of n in f 0.337 * [backup-simplify]: Simplify n into n 0.337 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.337 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.337 * [taylor]: Taking taylor expansion of f in f 0.337 * [backup-simplify]: Simplify 0 into 0 0.337 * [backup-simplify]: Simplify 1 into 1 0.338 * [backup-simplify]: Simplify (/ 1 1) into 1 0.338 * [backup-simplify]: Simplify (+ 1 0) into 1 0.338 * [backup-simplify]: Simplify (- 1) into -1 0.339 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.339 * [backup-simplify]: Simplify (/ 1 -1) into -1 0.339 * [taylor]: Taking taylor expansion of -1 in n 0.339 * [backup-simplify]: Simplify -1 into -1 0.339 * [backup-simplify]: Simplify -1 into -1 0.340 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.340 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 0.341 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.341 * [backup-simplify]: Simplify (- 0) into 0 0.342 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 0.342 * [backup-simplify]: Simplify (- (/ (/ 1 n) -1) (+ (* -1 (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 n))) 0.342 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 0.342 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 0.342 * [taylor]: Taking taylor expansion of 2 in n 0.342 * [backup-simplify]: Simplify 2 into 2 0.342 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.342 * [taylor]: Taking taylor expansion of n in n 0.342 * [backup-simplify]: Simplify 0 into 0 0.342 * [backup-simplify]: Simplify 1 into 1 0.343 * [backup-simplify]: Simplify (/ 1 1) into 1 0.343 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.344 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 0.345 * [backup-simplify]: Simplify (- 0) into 0 0.345 * [backup-simplify]: Simplify 0 into 0 0.345 * [backup-simplify]: Simplify 0 into 0 0.346 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.346 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 0.346 * [backup-simplify]: Simplify (+ 0 0) into 0 0.346 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 0.347 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.348 * [backup-simplify]: Simplify (- 0) into 0 0.348 * [backup-simplify]: Simplify (+ 0 0) into 0 0.349 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 n))) (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 (pow n 2)))) 0.349 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 0.349 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 0.349 * [taylor]: Taking taylor expansion of 2 in n 0.349 * [backup-simplify]: Simplify 2 into 2 0.349 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 0.349 * [taylor]: Taking taylor expansion of (pow n 2) in n 0.349 * [taylor]: Taking taylor expansion of n in n 0.349 * [backup-simplify]: Simplify 0 into 0 0.349 * [backup-simplify]: Simplify 1 into 1 0.350 * [backup-simplify]: Simplify (* 1 1) into 1 0.350 * [backup-simplify]: Simplify (/ 1 1) into 1 0.351 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.352 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.353 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.354 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.355 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 0.355 * [backup-simplify]: Simplify (- 0) into 0 0.355 * [backup-simplify]: Simplify 0 into 0 0.356 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.357 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 0.357 * [backup-simplify]: Simplify (- 0) into 0 0.358 * [backup-simplify]: Simplify 0 into 0 0.358 * [backup-simplify]: Simplify 0 into 0 0.359 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.359 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 0.359 * [backup-simplify]: Simplify (+ 0 0) into 0 0.359 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 0.360 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.361 * [backup-simplify]: Simplify (- 0) into 0 0.361 * [backup-simplify]: Simplify (+ 0 0) into 0 0.363 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 n))) (/ 0 -1)) (* (- (* 2 (/ 1 (pow n 2)))) (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 (pow n 3)))) 0.363 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 0.363 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 0.363 * [taylor]: Taking taylor expansion of 2 in n 0.363 * [backup-simplify]: Simplify 2 into 2 0.363 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 0.363 * [taylor]: Taking taylor expansion of (pow n 3) in n 0.363 * [taylor]: Taking taylor expansion of n in n 0.363 * [backup-simplify]: Simplify 0 into 0 0.363 * [backup-simplify]: Simplify 1 into 1 0.363 * [backup-simplify]: Simplify (* 1 1) into 1 0.364 * [backup-simplify]: Simplify (* 1 1) into 1 0.364 * [backup-simplify]: Simplify (/ 1 1) into 1 0.365 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.366 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.366 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.368 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.368 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.369 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.370 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.371 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.372 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.373 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.373 * [backup-simplify]: Simplify (- 0) into 0 0.373 * [backup-simplify]: Simplify 0 into 0 0.373 * [backup-simplify]: Simplify -1 into -1 0.373 * * * [progress]: simplifying candidates 0.374 * * * * [progress]: [ 1 / 99 ] simplifiying candidate # 0.374 * * * * [progress]: [ 2 / 99 ] simplifiying candidate # 0.374 * * * * [progress]: [ 3 / 99 ] simplifiying candidate # 0.374 * * * * [progress]: [ 4 / 99 ] simplifiying candidate # 0.374 * * * * [progress]: [ 5 / 99 ] simplifiying candidate # 0.374 * * * * [progress]: [ 6 / 99 ] simplifiying candidate # 0.374 * * * * [progress]: [ 7 / 99 ] simplifiying candidate # 0.374 * * * * [progress]: [ 8 / 99 ] simplifiying candidate # 0.374 * * * * [progress]: [ 9 / 99 ] simplifiying candidate # 0.374 * * * * [progress]: [ 10 / 99 ] simplifiying candidate # 0.374 * * * * [progress]: [ 11 / 99 ] simplifiying candidate # 0.374 * * * * [progress]: [ 12 / 99 ] simplifiying candidate # 0.374 * * * * [progress]: [ 13 / 99 ] simplifiying candidate # 0.374 * * * * [progress]: [ 14 / 99 ] simplifiying candidate # 0.375 * * * * [progress]: [ 15 / 99 ] simplifiying candidate # 0.375 * * * * [progress]: [ 16 / 99 ] simplifiying candidate # 0.375 * * * * [progress]: [ 17 / 99 ] simplifiying candidate # 0.375 * * * * [progress]: [ 18 / 99 ] simplifiying candidate # 0.375 * * * * [progress]: [ 19 / 99 ] simplifiying candidate # 0.375 * * * * [progress]: [ 20 / 99 ] simplifiying candidate # 0.375 * * * * [progress]: [ 21 / 99 ] simplifiying candidate # 0.375 * * * * [progress]: [ 22 / 99 ] simplifiying candidate # 0.375 * * * * [progress]: [ 23 / 99 ] simplifiying candidate # 0.375 * * * * [progress]: [ 24 / 99 ] simplifiying candidate # 0.375 * * * * [progress]: [ 25 / 99 ] simplifiying candidate # 0.375 * * * * [progress]: [ 26 / 99 ] simplifiying candidate # 0.375 * * * * [progress]: [ 27 / 99 ] simplifiying candidate # 0.375 * * * * [progress]: [ 28 / 99 ] simplifiying candidate # 0.375 * * * * [progress]: [ 29 / 99 ] simplifiying candidate # 0.375 * * * * [progress]: [ 30 / 99 ] simplifiying candidate # 0.375 * * * * [progress]: [ 31 / 99 ] simplifiying candidate # 0.376 * * * * [progress]: [ 32 / 99 ] simplifiying candidate # 0.376 * * * * [progress]: [ 33 / 99 ] simplifiying candidate # 0.376 * * * * [progress]: [ 34 / 99 ] simplifiying candidate # 0.376 * * * * [progress]: [ 35 / 99 ] simplifiying candidate # 0.376 * * * * [progress]: [ 36 / 99 ] simplifiying candidate # 0.376 * * * * [progress]: [ 37 / 99 ] simplifiying candidate # 0.376 * * * * [progress]: [ 38 / 99 ] simplifiying candidate # 0.376 * * * * [progress]: [ 39 / 99 ] simplifiying candidate # 0.376 * * * * [progress]: [ 40 / 99 ] simplifiying candidate # 0.376 * * * * [progress]: [ 41 / 99 ] simplifiying candidate # 0.376 * * * * [progress]: [ 42 / 99 ] simplifiying candidate # 0.376 * * * * [progress]: [ 43 / 99 ] simplifiying candidate # 0.376 * * * * [progress]: [ 44 / 99 ] simplifiying candidate # 0.376 * * * * [progress]: [ 45 / 99 ] simplifiying candidate # 0.376 * * * * [progress]: [ 46 / 99 ] simplifiying candidate # 0.376 * * * * [progress]: [ 47 / 99 ] simplifiying candidate # 0.376 * * * * [progress]: [ 48 / 99 ] simplifiying candidate # 0.377 * * * * [progress]: [ 49 / 99 ] simplifiying candidate # 0.377 * * * * [progress]: [ 50 / 99 ] simplifiying candidate # 0.377 * * * * [progress]: [ 51 / 99 ] simplifiying candidate # 0.377 * * * * [progress]: [ 52 / 99 ] simplifiying candidate # 0.377 * * * * [progress]: [ 53 / 99 ] simplifiying candidate # 0.377 * * * * [progress]: [ 54 / 99 ] simplifiying candidate # 0.377 * * * * [progress]: [ 55 / 99 ] simplifiying candidate # 0.377 * * * * [progress]: [ 56 / 99 ] simplifiying candidate # 0.377 * * * * [progress]: [ 57 / 99 ] simplifiying candidate # 0.377 * * * * [progress]: [ 58 / 99 ] simplifiying candidate # 0.377 * * * * [progress]: [ 59 / 99 ] simplifiying candidate # 0.377 * * * * [progress]: [ 60 / 99 ] simplifiying candidate # 0.377 * * * * [progress]: [ 61 / 99 ] simplifiying candidate # 0.377 * * * * [progress]: [ 62 / 99 ] simplifiying candidate # 0.377 * * * * [progress]: [ 63 / 99 ] simplifiying candidate # 0.377 * * * * [progress]: [ 64 / 99 ] simplifiying candidate # 0.377 * * * * [progress]: [ 65 / 99 ] simplifiying candidate # 0.378 * * * * [progress]: [ 66 / 99 ] simplifiying candidate # 0.378 * * * * [progress]: [ 67 / 99 ] simplifiying candidate # 0.378 * * * * [progress]: [ 68 / 99 ] simplifiying candidate # 0.378 * * * * [progress]: [ 69 / 99 ] simplifiying candidate # 0.378 * * * * [progress]: [ 70 / 99 ] simplifiying candidate # 0.378 * * * * [progress]: [ 71 / 99 ] simplifiying candidate # 0.378 * * * * [progress]: [ 72 / 99 ] simplifiying candidate # 0.378 * * * * [progress]: [ 73 / 99 ] simplifiying candidate # 0.378 * * * * [progress]: [ 74 / 99 ] simplifiying candidate # 0.378 * * * * [progress]: [ 75 / 99 ] simplifiying candidate # 0.378 * * * * [progress]: [ 76 / 99 ] simplifiying candidate # 0.378 * * * * [progress]: [ 77 / 99 ] simplifiying candidate # 0.378 * * * * [progress]: [ 78 / 99 ] simplifiying candidate # 0.378 * * * * [progress]: [ 79 / 99 ] simplifiying candidate # 0.378 * * * * [progress]: [ 80 / 99 ] simplifiying candidate # 0.378 * * * * [progress]: [ 81 / 99 ] simplifiying candidate # 0.378 * * * * [progress]: [ 82 / 99 ] simplifiying candidate # 0.378 * * * * [progress]: [ 83 / 99 ] simplifiying candidate # 0.379 * * * * [progress]: [ 84 / 99 ] simplifiying candidate # 0.379 * * * * [progress]: [ 85 / 99 ] simplifiying candidate # 0.379 * * * * [progress]: [ 86 / 99 ] simplifiying candidate # 0.379 * * * * [progress]: [ 87 / 99 ] simplifiying candidate # 0.379 * * * * [progress]: [ 88 / 99 ] simplifiying candidate # 0.379 * * * * [progress]: [ 89 / 99 ] simplifiying candidate # 0.379 * * * * [progress]: [ 90 / 99 ] simplifiying candidate # 0.379 * * * * [progress]: [ 91 / 99 ] simplifiying candidate # 0.379 * * * * [progress]: [ 92 / 99 ] simplifiying candidate # 0.379 * * * * [progress]: [ 93 / 99 ] simplifiying candidate # 0.379 * * * * [progress]: [ 94 / 99 ] simplifiying candidate # 0.379 * * * * [progress]: [ 95 / 99 ] simplifiying candidate # 0.379 * * * * [progress]: [ 96 / 99 ] simplifiying candidate #real (real->posit16 (/ (- (+ f n)) (- f n)))))> 0.379 * * * * [progress]: [ 97 / 99 ] simplifiying candidate # 0.379 * * * * [progress]: [ 98 / 99 ] simplifiying candidate # 0.379 * * * * [progress]: [ 99 / 99 ] simplifiying candidate # 0.391 * [simplify]: Simplifying: (- (log (- (+ f n))) (log (- f n))) (log (/ (- (+ f n)) (- f n))) (exp (/ (- (+ f n)) (- f n))) (/ (* (* (- (+ f n)) (- (+ f n))) (- (+ f n))) (* (* (- f n) (- f n)) (- f n))) (* (cbrt (/ (- (+ f n)) (- f n))) (cbrt (/ (- (+ f n)) (- f n)))) (cbrt (/ (- (+ f n)) (- f n))) (* (* (/ (- (+ f n)) (- f n)) (/ (- (+ f n)) (- f n))) (/ (- (+ f n)) (- f n))) (sqrt (/ (- (+ f n)) (- f n))) (sqrt (/ (- (+ f n)) (- f n))) (- (- (+ f n))) (- (- f n)) (/ 0 (- f n)) (/ (+ f n) (- f n)) (/ (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (cbrt (- (+ f n))) (cbrt (- f n))) (/ (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) (sqrt (- f n))) (/ (cbrt (- (+ f n))) (sqrt (- f n))) (/ (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) 1) (/ (cbrt (- (+ f n))) (- f n)) (/ (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) (+ (sqrt f) (sqrt n))) (/ (cbrt (- (+ f n))) (- (sqrt f) (sqrt n))) (/ (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) 1) (/ (cbrt (- (+ f n))) (- f n)) (/ (sqrt (- (+ f n))) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (sqrt (- (+ f n))) (cbrt (- f n))) (/ (sqrt (- (+ f n))) (sqrt (- f n))) (/ (sqrt (- (+ f n))) (sqrt (- f n))) (/ (sqrt (- (+ f n))) 1) (/ (sqrt (- (+ f n))) (- f n)) (/ (sqrt (- (+ f n))) (+ (sqrt f) (sqrt n))) (/ (sqrt (- (+ f n))) (- (sqrt f) (sqrt n))) (/ (sqrt (- (+ f n))) 1) (/ (sqrt (- (+ f n))) (- f n)) (/ 1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ (- (+ f n)) (cbrt (- f n))) (/ 1 (sqrt (- f n))) (/ (- (+ f n)) (sqrt (- f n))) (/ 1 1) (/ (- (+ f n)) (- f n)) (/ 1 (+ (sqrt f) (sqrt n))) (/ (- (+ f n)) (- (sqrt f) (sqrt n))) (/ 1 1) (/ (- (+ f n)) (- f n)) (/ -1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ (+ f n) (cbrt (- f n))) (/ -1 (sqrt (- f n))) (/ (+ f n) (sqrt (- f n))) (/ -1 1) (/ (+ f n) (- f n)) (/ -1 (+ (sqrt f) (sqrt n))) (/ (+ f n) (- (sqrt f) (sqrt n))) (/ -1 1) (/ (+ f n) (- f n)) (/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (cbrt (+ f n)) (cbrt (- f n))) (/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) (sqrt (- f n))) (/ (cbrt (+ f n)) (sqrt (- f n))) (/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) 1) (/ (cbrt (+ f n)) (- f n)) (/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) (+ (sqrt f) (sqrt n))) (/ (cbrt (+ f n)) (- (sqrt f) (sqrt n))) (/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) 1) (/ (cbrt (+ f n)) (- f n)) (/ (- (sqrt (+ f n))) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (sqrt (+ f n)) (cbrt (- f n))) (/ (- (sqrt (+ f n))) (sqrt (- f n))) (/ (sqrt (+ f n)) (sqrt (- f n))) (/ (- (sqrt (+ f n))) 1) (/ (sqrt (+ f n)) (- f n)) (/ (- (sqrt (+ f n))) (+ (sqrt f) (sqrt n))) (/ (sqrt (+ f n)) (- (sqrt f) (sqrt n))) (/ (- (sqrt (+ f n))) 1) (/ (sqrt (+ f n)) (- f n)) (/ (- 1) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (+ f n) (cbrt (- f n))) (/ (- 1) (sqrt (- f n))) (/ (+ f n) (sqrt (- f n))) (/ (- 1) 1) (/ (+ f n) (- f n)) (/ (- 1) (+ (sqrt f) (sqrt n))) (/ (+ f n) (- (sqrt f) (sqrt n))) (/ (- 1) 1) (/ (+ f n) (- f n)) (/ (- 1) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (+ f n) (cbrt (- f n))) (/ (- 1) (sqrt (- f n))) (/ (+ f n) (sqrt (- f n))) (/ (- 1) 1) (/ (+ f n) (- f n)) (/ (- 1) (+ (sqrt f) (sqrt n))) (/ (+ f n) (- (sqrt f) (sqrt n))) (/ (- 1) 1) (/ (+ f n) (- f n)) (/ (* (cbrt (+ f n)) (cbrt (+ f n))) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (- (cbrt (+ f n))) (cbrt (- f n))) (/ (* (cbrt (+ f n)) (cbrt (+ f n))) (sqrt (- f n))) (/ (- (cbrt (+ f n))) (sqrt (- f n))) (/ (* (cbrt (+ f n)) (cbrt (+ f n))) 1) (/ (- (cbrt (+ f n))) (- f n)) (/ (* (cbrt (+ f n)) (cbrt (+ f n))) (+ (sqrt f) (sqrt n))) (/ (- (cbrt (+ f n))) (- (sqrt f) (sqrt n))) (/ (* (cbrt (+ f n)) (cbrt (+ f n))) 1) (/ (- (cbrt (+ f n))) (- f n)) (/ (sqrt (+ f n)) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (- (sqrt (+ f n))) (cbrt (- f n))) (/ (sqrt (+ f n)) (sqrt (- f n))) (/ (- (sqrt (+ f n))) (sqrt (- f n))) (/ (sqrt (+ f n)) 1) (/ (- (sqrt (+ f n))) (- f n)) (/ (sqrt (+ f n)) (+ (sqrt f) (sqrt n))) (/ (- (sqrt (+ f n))) (- (sqrt f) (sqrt n))) (/ (sqrt (+ f n)) 1) (/ (- (sqrt (+ f n))) (- f n)) (/ 1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ (- (+ f n)) (cbrt (- f n))) (/ 1 (sqrt (- f n))) (/ (- (+ f n)) (sqrt (- f n))) (/ 1 1) (/ (- (+ f n)) (- f n)) (/ 1 (+ (sqrt f) (sqrt n))) (/ (- (+ f n)) (- (sqrt f) (sqrt n))) (/ 1 1) (/ (- (+ f n)) (- f n)) (/ 1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ (- (+ f n)) (cbrt (- f n))) (/ 1 (sqrt (- f n))) (/ (- (+ f n)) (sqrt (- f n))) (/ 1 1) (/ (- (+ f n)) (- f n)) (/ 1 (+ (sqrt f) (sqrt n))) (/ (- (+ f n)) (- (sqrt f) (sqrt n))) (/ 1 1) (/ (- (+ f n)) (- f n)) (/ 1 (- f n)) (/ (- f n) (- (+ f n))) (/ (+ f n) (- f n)) (/ (- (+ f n)) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (- (+ f n)) (sqrt (- f n))) (/ (- (+ f n)) 1) (/ (- (+ f n)) (+ (sqrt f) (sqrt n))) (/ (- (+ f n)) 1) (/ (- f n) (cbrt (- (+ f n)))) (/ (- f n) (sqrt (- (+ f n)))) (/ (- f n) (- (+ f n))) (/ (- f n) (+ f n)) (/ (- f n) (cbrt (+ f n))) (/ (- f n) (sqrt (+ f n))) (/ (- f n) (+ f n)) (/ (- f n) (+ f n)) (/ (- f n) (- (cbrt (+ f n)))) (/ (- f n) (- (sqrt (+ f n)))) (/ (- f n) (- (+ f n))) (/ (- f n) (- (+ f n))) (/ (- (+ f n)) (- (pow f 3) (pow n 3))) (/ (- (+ f n)) (- (* f f) (* n n))) (* (- f n) (+ (* f f) (- (* n n) (* f n)))) (* (- f n) (- f n)) (real->posit16 (/ (- (+ f n)) (- f n))) 1 -1 -1 0.394 * * [simplify]: iteration 0: 134 enodes 0.420 * * [simplify]: iteration 1: 312 enodes 0.478 * * [simplify]: iteration 2: 1058 enodes 0.828 * * [simplify]: iteration complete: 5001 enodes 0.828 * * [simplify]: Extracting #0: cost 87 inf + 0 0.830 * * [simplify]: Extracting #1: cost 623 inf + 3 0.836 * * [simplify]: Extracting #2: cost 1413 inf + 170 0.844 * * [simplify]: Extracting #3: cost 1920 inf + 29234 0.926 * * [simplify]: Extracting #4: cost 471 inf + 320928 1.052 * * [simplify]: Extracting #5: cost 43 inf + 402172 1.150 * * [simplify]: Extracting #6: cost 27 inf + 406911 1.277 * * [simplify]: Extracting #7: cost 5 inf + 409901 1.357 * * [simplify]: Extracting #8: cost 0 inf + 411166 1.460 * [simplify]: Simplified to: (log (/ (- (+ f n)) (- f n))) (log (/ (- (+ f n)) (- f n))) (exp (/ (- (+ f n)) (- f n))) (* (- (/ (+ f n) (- f n))) (* (/ (+ f n) (- f n)) (/ (+ f n) (- f n)))) (* (cbrt (/ (- (+ f n)) (- f n))) (cbrt (/ (- (+ f n)) (- f n)))) (cbrt (/ (- (+ f n)) (- f n))) (* (- (/ (+ f n) (- f n))) (* (/ (+ f n) (- f n)) (/ (+ f n) (- f n)))) (sqrt (/ (- (+ f n)) (- f n))) (sqrt (/ (- (+ f n)) (- f n))) (+ f n) (+ (- f) n) 0 (/ (+ f n) (- f n)) (* (/ (cbrt (- (- f) n)) (cbrt (- f n))) (/ (cbrt (- (- f) n)) (cbrt (- f n)))) (/ (cbrt (- (- f) n)) (cbrt (- f n))) (/ (cbrt (- (- f) n)) (/ (sqrt (- f n)) (cbrt (- (- f) n)))) (/ (cbrt (- (- f) n)) (sqrt (- f n))) (* (cbrt (- (- f) n)) (cbrt (- (- f) n))) (/ (cbrt (- (- f) n)) (- f n)) (/ (cbrt (- (- f) n)) (/ (+ (sqrt n) (sqrt f)) (cbrt (- (- f) n)))) (/ (cbrt (- (- f) n)) (- (sqrt f) (sqrt n))) (* (cbrt (- (- f) n)) (cbrt (- (- f) n))) (/ (cbrt (- (- f) n)) (- f n)) (/ (/ (sqrt (- (- f) n)) (cbrt (- f n))) (cbrt (- f n))) (/ (sqrt (- (- f) n)) (cbrt (- f n))) (/ (sqrt (- (- f) n)) (sqrt (- f n))) (/ (sqrt (- (- f) n)) (sqrt (- f n))) (sqrt (- (- f) n)) (/ (sqrt (- (- f) n)) (- f n)) (/ (sqrt (- (- f) n)) (+ (sqrt n) (sqrt f))) (/ (sqrt (- (- f) n)) (- (sqrt f) (sqrt n))) (sqrt (- (- f) n)) (/ (sqrt (- (- f) n)) (- f n)) (/ 1 (* (cbrt (- f n)) (cbrt (- f n)))) (- (/ (+ f n) (cbrt (- f n)))) (/ 1 (sqrt (- f n))) (- (/ (+ f n) (sqrt (- f n)))) 1 (/ (- (+ f n)) (- f n)) (/ 1 (+ (sqrt n) (sqrt f))) (/ (- (+ f n)) (- (sqrt f) (sqrt n))) 1 (/ (- (+ f n)) (- f n)) (/ (/ -1 (cbrt (- f n))) (cbrt (- f n))) (/ (+ f n) (cbrt (- f n))) (/ -1 (sqrt (- f n))) (/ (+ f n) (sqrt (- f n))) -1 (/ (+ f n) (- f n)) (/ -1 (+ (sqrt n) (sqrt f))) (/ (+ f n) (- (sqrt f) (sqrt n))) -1 (/ (+ f n) (- f n)) (* (/ (cbrt (+ f n)) (cbrt (- f n))) (- (/ (cbrt (+ f n)) (cbrt (- f n))))) (/ (cbrt (+ f n)) (cbrt (- f n))) (* (/ (- (cbrt (+ f n))) (sqrt (- f n))) (cbrt (+ f n))) (/ (cbrt (+ f n)) (sqrt (- f n))) (* (cbrt (+ f n)) (- (cbrt (+ f n)))) (/ (cbrt (+ f n)) (- f n)) (/ (- (cbrt (+ f n))) (/ (+ (sqrt n) (sqrt f)) (cbrt (+ f n)))) (/ (cbrt (+ f n)) (- (sqrt f) (sqrt n))) (* (cbrt (+ f n)) (- (cbrt (+ f n)))) (/ (cbrt (+ f n)) (- f n)) (/ (- (sqrt (+ f n))) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (sqrt (+ f n)) (cbrt (- f n))) (- (/ (sqrt (+ f n)) (sqrt (- f n)))) (/ (sqrt (+ f n)) (sqrt (- f n))) (- (sqrt (+ f n))) (/ (sqrt (+ f n)) (- f n)) (- (/ (sqrt (+ f n)) (+ (sqrt n) (sqrt f)))) (/ (sqrt (+ f n)) (- (sqrt f) (sqrt n))) (- (sqrt (+ f n))) (/ (sqrt (+ f n)) (- f n)) (/ (/ -1 (cbrt (- f n))) (cbrt (- f n))) (/ (+ f n) (cbrt (- f n))) (/ -1 (sqrt (- f n))) (/ (+ f n) (sqrt (- f n))) -1 (/ (+ f n) (- f n)) (/ -1 (+ (sqrt n) (sqrt f))) (/ (+ f n) (- (sqrt f) (sqrt n))) -1 (/ (+ f n) (- f n)) (/ (/ -1 (cbrt (- f n))) (cbrt (- f n))) (/ (+ f n) (cbrt (- f n))) (/ -1 (sqrt (- f n))) (/ (+ f n) (sqrt (- f n))) -1 (/ (+ f n) (- f n)) (/ -1 (+ (sqrt n) (sqrt f))) (/ (+ f n) (- (sqrt f) (sqrt n))) -1 (/ (+ f n) (- f n)) (* (/ (cbrt (+ f n)) (cbrt (- f n))) (/ (cbrt (+ f n)) (cbrt (- f n)))) (/ (- (cbrt (+ f n))) (cbrt (- f n))) (/ (* (cbrt (+ f n)) (cbrt (+ f n))) (sqrt (- f n))) (/ (- (cbrt (+ f n))) (sqrt (- f n))) (* (cbrt (+ f n)) (cbrt (+ f n))) (- (/ (cbrt (+ f n)) (- f n))) (/ (cbrt (+ f n)) (/ (+ (sqrt n) (sqrt f)) (cbrt (+ f n)))) (- (/ (cbrt (+ f n)) (- (sqrt f) (sqrt n)))) (* (cbrt (+ f n)) (cbrt (+ f n))) (- (/ (cbrt (+ f n)) (- f n))) (/ (sqrt (+ f n)) (* (cbrt (- f n)) (cbrt (- f n)))) (- (/ (sqrt (+ f n)) (cbrt (- f n)))) (/ (sqrt (+ f n)) (sqrt (- f n))) (- (/ (sqrt (+ f n)) (sqrt (- f n)))) (sqrt (+ f n)) (- (/ (sqrt (+ f n)) (- f n))) (/ (sqrt (+ f n)) (+ (sqrt n) (sqrt f))) (- (/ (sqrt (+ f n)) (- (sqrt f) (sqrt n)))) (sqrt (+ f n)) (- (/ (sqrt (+ f n)) (- f n))) (/ 1 (* (cbrt (- f n)) (cbrt (- f n)))) (- (/ (+ f n) (cbrt (- f n)))) (/ 1 (sqrt (- f n))) (- (/ (+ f n) (sqrt (- f n)))) 1 (/ (- (+ f n)) (- f n)) (/ 1 (+ (sqrt n) (sqrt f))) (/ (- (+ f n)) (- (sqrt f) (sqrt n))) 1 (/ (- (+ f n)) (- f n)) (/ 1 (* (cbrt (- f n)) (cbrt (- f n)))) (- (/ (+ f n) (cbrt (- f n)))) (/ 1 (sqrt (- f n))) (- (/ (+ f n) (sqrt (- f n)))) 1 (/ (- (+ f n)) (- f n)) (/ 1 (+ (sqrt n) (sqrt f))) (/ (- (+ f n)) (- (sqrt f) (sqrt n))) 1 (/ (- (+ f n)) (- f n)) (/ 1 (- f n)) (/ (- f n) (- (- f) n)) (/ (+ f n) (- f n)) (- (/ (/ (+ f n) (cbrt (- f n))) (cbrt (- f n)))) (- (/ (+ f n) (sqrt (- f n)))) (- (- f) n) (- (/ (+ f n) (+ (sqrt n) (sqrt f)))) (- (- f) n) (/ (- f n) (cbrt (- (- f) n))) (/ (- f n) (sqrt (- (- f) n))) (/ (- f n) (- (- f) n)) (/ (- f n) (+ f n)) (/ (- f n) (cbrt (+ f n))) (/ (- f n) (sqrt (+ f n))) (/ (- f n) (+ f n)) (/ (- f n) (+ f n)) (/ (- f n) (- (cbrt (+ f n)))) (/ (- f n) (- (sqrt (+ f n)))) (/ (- f n) (- (- f) n)) (/ (- f n) (- (- f) n)) (/ (- (- f) n) (- (* f (* f f)) (* n (* n n)))) (- (/ 1 (- f n))) (* (+ (* n (- n f)) (* f f)) (- f n)) (* (- f n) (- f n)) (real->posit16 (/ (- (+ f n)) (- f n))) 1 -1 -1 1.466 * * * [progress]: adding candidates to table 1.728 * * [progress]: iteration 2 / 4 1.728 * * * [progress]: picking best candidate 1.749 * * * * [pick]: Picked # 1.750 * * * [progress]: localizing error 1.772 * * * [progress]: generating rewritten candidates 1.772 * * * * [progress]: [ 1 / 2 ] rewriting at (2 2) 1.805 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 1.822 * * * [progress]: generating series expansions 1.822 * * * * [progress]: [ 1 / 2 ] generating series at (2 2) 1.822 * [backup-simplify]: Simplify (/ (- f n) (+ f n)) into (/ (- f n) (+ n f)) 1.822 * [approximate]: Taking taylor expansion of (/ (- f n) (+ n f)) in (f n) around 0 1.822 * [taylor]: Taking taylor expansion of (/ (- f n) (+ n f)) in n 1.822 * [taylor]: Taking taylor expansion of (- f n) in n 1.822 * [taylor]: Taking taylor expansion of f in n 1.822 * [backup-simplify]: Simplify f into f 1.822 * [taylor]: Taking taylor expansion of n in n 1.822 * [backup-simplify]: Simplify 0 into 0 1.822 * [backup-simplify]: Simplify 1 into 1 1.822 * [taylor]: Taking taylor expansion of (+ n f) in n 1.822 * [taylor]: Taking taylor expansion of n in n 1.822 * [backup-simplify]: Simplify 0 into 0 1.822 * [backup-simplify]: Simplify 1 into 1 1.822 * [taylor]: Taking taylor expansion of f in n 1.822 * [backup-simplify]: Simplify f into f 1.823 * [backup-simplify]: Simplify (- 0) into 0 1.823 * [backup-simplify]: Simplify (+ f 0) into f 1.823 * [backup-simplify]: Simplify (+ 0 f) into f 1.823 * [backup-simplify]: Simplify (/ f f) into 1 1.823 * [taylor]: Taking taylor expansion of (/ (- f n) (+ n f)) in f 1.823 * [taylor]: Taking taylor expansion of (- f n) in f 1.823 * [taylor]: Taking taylor expansion of f in f 1.823 * [backup-simplify]: Simplify 0 into 0 1.823 * [backup-simplify]: Simplify 1 into 1 1.823 * [taylor]: Taking taylor expansion of n in f 1.823 * [backup-simplify]: Simplify n into n 1.823 * [taylor]: Taking taylor expansion of (+ n f) in f 1.823 * [taylor]: Taking taylor expansion of n in f 1.823 * [backup-simplify]: Simplify n into n 1.823 * [taylor]: Taking taylor expansion of f in f 1.823 * [backup-simplify]: Simplify 0 into 0 1.823 * [backup-simplify]: Simplify 1 into 1 1.823 * [backup-simplify]: Simplify (- n) into (- n) 1.823 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 1.823 * [backup-simplify]: Simplify (+ n 0) into n 1.823 * [backup-simplify]: Simplify (/ (- n) n) into -1 1.823 * [taylor]: Taking taylor expansion of (/ (- f n) (+ n f)) in f 1.823 * [taylor]: Taking taylor expansion of (- f n) in f 1.823 * [taylor]: Taking taylor expansion of f in f 1.823 * [backup-simplify]: Simplify 0 into 0 1.823 * [backup-simplify]: Simplify 1 into 1 1.823 * [taylor]: Taking taylor expansion of n in f 1.823 * [backup-simplify]: Simplify n into n 1.823 * [taylor]: Taking taylor expansion of (+ n f) in f 1.823 * [taylor]: Taking taylor expansion of n in f 1.823 * [backup-simplify]: Simplify n into n 1.823 * [taylor]: Taking taylor expansion of f in f 1.823 * [backup-simplify]: Simplify 0 into 0 1.823 * [backup-simplify]: Simplify 1 into 1 1.823 * [backup-simplify]: Simplify (- n) into (- n) 1.823 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 1.824 * [backup-simplify]: Simplify (+ n 0) into n 1.824 * [backup-simplify]: Simplify (/ (- n) n) into -1 1.824 * [taylor]: Taking taylor expansion of -1 in n 1.824 * [backup-simplify]: Simplify -1 into -1 1.824 * [backup-simplify]: Simplify -1 into -1 1.824 * [backup-simplify]: Simplify (- 0) into 0 1.824 * [backup-simplify]: Simplify (+ 1 0) into 1 1.825 * [backup-simplify]: Simplify (+ 0 1) into 1 1.825 * [backup-simplify]: Simplify (- (/ 1 n) (+ (* -1 (/ 1 n)))) into (* 2 (/ 1 n)) 1.825 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 1.825 * [taylor]: Taking taylor expansion of 2 in n 1.825 * [backup-simplify]: Simplify 2 into 2 1.825 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.825 * [taylor]: Taking taylor expansion of n in n 1.825 * [backup-simplify]: Simplify 0 into 0 1.825 * [backup-simplify]: Simplify 1 into 1 1.825 * [backup-simplify]: Simplify (/ 1 1) into 1 1.826 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.826 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 1.826 * [backup-simplify]: Simplify 0 into 0 1.826 * [backup-simplify]: Simplify 0 into 0 1.826 * [backup-simplify]: Simplify (- 0) into 0 1.827 * [backup-simplify]: Simplify (+ 0 0) into 0 1.827 * [backup-simplify]: Simplify (+ 0 0) into 0 1.827 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* -1 (/ 0 n)) (* (* 2 (/ 1 n)) (/ 1 n)))) into (- (* 2 (/ 1 (pow n 2)))) 1.827 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 1.827 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 1.827 * [taylor]: Taking taylor expansion of 2 in n 1.827 * [backup-simplify]: Simplify 2 into 2 1.827 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 1.827 * [taylor]: Taking taylor expansion of (pow n 2) in n 1.827 * [taylor]: Taking taylor expansion of n in n 1.827 * [backup-simplify]: Simplify 0 into 0 1.827 * [backup-simplify]: Simplify 1 into 1 1.827 * [backup-simplify]: Simplify (* 1 1) into 1 1.828 * [backup-simplify]: Simplify (/ 1 1) into 1 1.828 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.829 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.829 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.830 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.830 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 1.830 * [backup-simplify]: Simplify (- 0) into 0 1.830 * [backup-simplify]: Simplify 0 into 0 1.831 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.832 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 1.832 * [backup-simplify]: Simplify 0 into 0 1.832 * [backup-simplify]: Simplify 0 into 0 1.832 * [backup-simplify]: Simplify (- 0) into 0 1.832 * [backup-simplify]: Simplify (+ 0 0) into 0 1.832 * [backup-simplify]: Simplify (+ 0 0) into 0 1.833 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* -1 (/ 0 n)) (* (* 2 (/ 1 n)) (/ 0 n)) (* (- (* 2 (/ 1 (pow n 2)))) (/ 1 n)))) into (* 2 (/ 1 (pow n 3))) 1.833 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 1.833 * [taylor]: Taking taylor expansion of 2 in n 1.833 * [backup-simplify]: Simplify 2 into 2 1.833 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 1.833 * [taylor]: Taking taylor expansion of (pow n 3) in n 1.833 * [taylor]: Taking taylor expansion of n in n 1.833 * [backup-simplify]: Simplify 0 into 0 1.833 * [backup-simplify]: Simplify 1 into 1 1.833 * [backup-simplify]: Simplify (* 1 1) into 1 1.833 * [backup-simplify]: Simplify (* 1 1) into 1 1.833 * [backup-simplify]: Simplify (/ 1 1) into 1 1.834 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.835 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.835 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.836 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.836 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.837 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.837 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.838 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.838 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.839 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.839 * [backup-simplify]: Simplify 0 into 0 1.839 * [backup-simplify]: Simplify -1 into -1 1.839 * [backup-simplify]: Simplify (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))) into (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))) 1.839 * [approximate]: Taking taylor expansion of (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))) in (f n) around 0 1.839 * [taylor]: Taking taylor expansion of (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))) in n 1.839 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 1.839 * [taylor]: Taking taylor expansion of (/ 1 f) in n 1.839 * [taylor]: Taking taylor expansion of f in n 1.839 * [backup-simplify]: Simplify f into f 1.839 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 1.839 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.839 * [taylor]: Taking taylor expansion of n in n 1.839 * [backup-simplify]: Simplify 0 into 0 1.839 * [backup-simplify]: Simplify 1 into 1 1.840 * [backup-simplify]: Simplify (/ 1 1) into 1 1.840 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 1.840 * [taylor]: Taking taylor expansion of (/ 1 f) in n 1.840 * [taylor]: Taking taylor expansion of f in n 1.840 * [backup-simplify]: Simplify f into f 1.840 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 1.840 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.840 * [taylor]: Taking taylor expansion of n in n 1.840 * [backup-simplify]: Simplify 0 into 0 1.840 * [backup-simplify]: Simplify 1 into 1 1.840 * [backup-simplify]: Simplify (/ 1 1) into 1 1.840 * [backup-simplify]: Simplify (- 1) into -1 1.840 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.841 * [backup-simplify]: Simplify (+ 0 1) into 1 1.841 * [backup-simplify]: Simplify (/ -1 1) into -1 1.841 * [taylor]: Taking taylor expansion of (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))) in f 1.841 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 1.841 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.841 * [taylor]: Taking taylor expansion of f in f 1.841 * [backup-simplify]: Simplify 0 into 0 1.841 * [backup-simplify]: Simplify 1 into 1 1.841 * [backup-simplify]: Simplify (/ 1 1) into 1 1.841 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.841 * [taylor]: Taking taylor expansion of n in f 1.841 * [backup-simplify]: Simplify n into n 1.841 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.842 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 1.842 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.842 * [taylor]: Taking taylor expansion of f in f 1.842 * [backup-simplify]: Simplify 0 into 0 1.842 * [backup-simplify]: Simplify 1 into 1 1.842 * [backup-simplify]: Simplify (/ 1 1) into 1 1.842 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.842 * [taylor]: Taking taylor expansion of n in f 1.842 * [backup-simplify]: Simplify n into n 1.842 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.842 * [backup-simplify]: Simplify (+ 1 0) into 1 1.842 * [backup-simplify]: Simplify (+ 1 0) into 1 1.843 * [backup-simplify]: Simplify (/ 1 1) into 1 1.843 * [taylor]: Taking taylor expansion of (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))) in f 1.843 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 1.843 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.843 * [taylor]: Taking taylor expansion of f in f 1.843 * [backup-simplify]: Simplify 0 into 0 1.843 * [backup-simplify]: Simplify 1 into 1 1.843 * [backup-simplify]: Simplify (/ 1 1) into 1 1.843 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.843 * [taylor]: Taking taylor expansion of n in f 1.843 * [backup-simplify]: Simplify n into n 1.843 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.843 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 1.843 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.843 * [taylor]: Taking taylor expansion of f in f 1.843 * [backup-simplify]: Simplify 0 into 0 1.843 * [backup-simplify]: Simplify 1 into 1 1.843 * [backup-simplify]: Simplify (/ 1 1) into 1 1.844 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.844 * [taylor]: Taking taylor expansion of n in f 1.844 * [backup-simplify]: Simplify n into n 1.844 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.844 * [backup-simplify]: Simplify (+ 1 0) into 1 1.844 * [backup-simplify]: Simplify (+ 1 0) into 1 1.844 * [backup-simplify]: Simplify (/ 1 1) into 1 1.844 * [taylor]: Taking taylor expansion of 1 in n 1.844 * [backup-simplify]: Simplify 1 into 1 1.844 * [backup-simplify]: Simplify 1 into 1 1.845 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.845 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 1.845 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) 1.846 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.846 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 1.846 * [backup-simplify]: Simplify (- (/ (- (/ 1 n)) 1) (+ (* 1 (/ (/ 1 n) 1)))) into (- (* 2 (/ 1 n))) 1.846 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 1.846 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 1.846 * [taylor]: Taking taylor expansion of 2 in n 1.846 * [backup-simplify]: Simplify 2 into 2 1.846 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.846 * [taylor]: Taking taylor expansion of n in n 1.846 * [backup-simplify]: Simplify 0 into 0 1.846 * [backup-simplify]: Simplify 1 into 1 1.846 * [backup-simplify]: Simplify (/ 1 1) into 1 1.847 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.847 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 1.848 * [backup-simplify]: Simplify (- 0) into 0 1.848 * [backup-simplify]: Simplify 0 into 0 1.848 * [backup-simplify]: Simplify 0 into 0 1.849 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.849 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 1.850 * [backup-simplify]: Simplify (- 0) into 0 1.850 * [backup-simplify]: Simplify (+ 0 0) into 0 1.851 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.851 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 1.852 * [backup-simplify]: Simplify (+ 0 0) into 0 1.853 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (- (* 2 (/ 1 n))) (/ (/ 1 n) 1)))) into (* 2 (/ 1 (pow n 2))) 1.853 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 1.853 * [taylor]: Taking taylor expansion of 2 in n 1.853 * [backup-simplify]: Simplify 2 into 2 1.853 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 1.853 * [taylor]: Taking taylor expansion of (pow n 2) in n 1.853 * [taylor]: Taking taylor expansion of n in n 1.853 * [backup-simplify]: Simplify 0 into 0 1.853 * [backup-simplify]: Simplify 1 into 1 1.854 * [backup-simplify]: Simplify (* 1 1) into 1 1.854 * [backup-simplify]: Simplify (/ 1 1) into 1 1.855 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.856 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.856 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.857 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.858 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 1.858 * [backup-simplify]: Simplify 0 into 0 1.860 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.861 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 1.861 * [backup-simplify]: Simplify (- 0) into 0 1.861 * [backup-simplify]: Simplify 0 into 0 1.861 * [backup-simplify]: Simplify 0 into 0 1.862 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.862 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 1.863 * [backup-simplify]: Simplify (- 0) into 0 1.863 * [backup-simplify]: Simplify (+ 0 0) into 0 1.864 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.864 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 1.865 * [backup-simplify]: Simplify (+ 0 0) into 0 1.866 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (- (* 2 (/ 1 n))) (/ 0 1)) (* (* 2 (/ 1 (pow n 2))) (/ (/ 1 n) 1)))) into (- (* 2 (/ 1 (pow n 3)))) 1.867 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 1.867 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 1.867 * [taylor]: Taking taylor expansion of 2 in n 1.867 * [backup-simplify]: Simplify 2 into 2 1.867 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 1.867 * [taylor]: Taking taylor expansion of (pow n 3) in n 1.867 * [taylor]: Taking taylor expansion of n in n 1.867 * [backup-simplify]: Simplify 0 into 0 1.867 * [backup-simplify]: Simplify 1 into 1 1.867 * [backup-simplify]: Simplify (* 1 1) into 1 1.868 * [backup-simplify]: Simplify (* 1 1) into 1 1.868 * [backup-simplify]: Simplify (/ 1 1) into 1 1.869 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.870 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.871 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.872 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.873 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.873 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.874 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.875 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.876 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.878 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.878 * [backup-simplify]: Simplify (- 0) into 0 1.878 * [backup-simplify]: Simplify 0 into 0 1.878 * [backup-simplify]: Simplify 1 into 1 1.879 * [backup-simplify]: Simplify (/ (- (/ 1 (- f)) (/ 1 (- n))) (+ (/ 1 (- f)) (/ 1 (- n)))) into (* -1 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n)))) 1.879 * [approximate]: Taking taylor expansion of (* -1 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n)))) in (f n) around 0 1.879 * [taylor]: Taking taylor expansion of (* -1 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n)))) in n 1.879 * [taylor]: Taking taylor expansion of -1 in n 1.879 * [backup-simplify]: Simplify -1 into -1 1.879 * [taylor]: Taking taylor expansion of (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n))) in n 1.879 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 1.879 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.879 * [taylor]: Taking taylor expansion of n in n 1.879 * [backup-simplify]: Simplify 0 into 0 1.879 * [backup-simplify]: Simplify 1 into 1 1.879 * [backup-simplify]: Simplify (/ 1 1) into 1 1.879 * [taylor]: Taking taylor expansion of (/ 1 f) in n 1.879 * [taylor]: Taking taylor expansion of f in n 1.879 * [backup-simplify]: Simplify f into f 1.879 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 1.879 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 1.879 * [taylor]: Taking taylor expansion of (/ 1 f) in n 1.879 * [taylor]: Taking taylor expansion of f in n 1.879 * [backup-simplify]: Simplify f into f 1.879 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 1.879 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.879 * [taylor]: Taking taylor expansion of n in n 1.879 * [backup-simplify]: Simplify 0 into 0 1.879 * [backup-simplify]: Simplify 1 into 1 1.880 * [backup-simplify]: Simplify (/ 1 1) into 1 1.880 * [backup-simplify]: Simplify (+ 1 0) into 1 1.880 * [backup-simplify]: Simplify (+ 0 1) into 1 1.881 * [backup-simplify]: Simplify (/ 1 1) into 1 1.881 * [taylor]: Taking taylor expansion of (* -1 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n)))) in f 1.881 * [taylor]: Taking taylor expansion of -1 in f 1.881 * [backup-simplify]: Simplify -1 into -1 1.881 * [taylor]: Taking taylor expansion of (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n))) in f 1.881 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 1.881 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.881 * [taylor]: Taking taylor expansion of n in f 1.881 * [backup-simplify]: Simplify n into n 1.881 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.881 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.881 * [taylor]: Taking taylor expansion of f in f 1.881 * [backup-simplify]: Simplify 0 into 0 1.881 * [backup-simplify]: Simplify 1 into 1 1.881 * [backup-simplify]: Simplify (/ 1 1) into 1 1.881 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 1.881 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.881 * [taylor]: Taking taylor expansion of f in f 1.881 * [backup-simplify]: Simplify 0 into 0 1.881 * [backup-simplify]: Simplify 1 into 1 1.881 * [backup-simplify]: Simplify (/ 1 1) into 1 1.881 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.881 * [taylor]: Taking taylor expansion of n in f 1.882 * [backup-simplify]: Simplify n into n 1.882 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.882 * [backup-simplify]: Simplify (- 1) into -1 1.882 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.882 * [backup-simplify]: Simplify (+ 1 0) into 1 1.883 * [backup-simplify]: Simplify (/ -1 1) into -1 1.883 * [taylor]: Taking taylor expansion of (* -1 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n)))) in f 1.883 * [taylor]: Taking taylor expansion of -1 in f 1.883 * [backup-simplify]: Simplify -1 into -1 1.883 * [taylor]: Taking taylor expansion of (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n))) in f 1.883 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 1.883 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.883 * [taylor]: Taking taylor expansion of n in f 1.883 * [backup-simplify]: Simplify n into n 1.883 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.883 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.883 * [taylor]: Taking taylor expansion of f in f 1.883 * [backup-simplify]: Simplify 0 into 0 1.883 * [backup-simplify]: Simplify 1 into 1 1.883 * [backup-simplify]: Simplify (/ 1 1) into 1 1.883 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 1.883 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.883 * [taylor]: Taking taylor expansion of f in f 1.883 * [backup-simplify]: Simplify 0 into 0 1.883 * [backup-simplify]: Simplify 1 into 1 1.883 * [backup-simplify]: Simplify (/ 1 1) into 1 1.883 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.883 * [taylor]: Taking taylor expansion of n in f 1.883 * [backup-simplify]: Simplify n into n 1.884 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.884 * [backup-simplify]: Simplify (- 1) into -1 1.884 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.884 * [backup-simplify]: Simplify (+ 1 0) into 1 1.885 * [backup-simplify]: Simplify (/ -1 1) into -1 1.885 * [backup-simplify]: Simplify (* -1 -1) into 1 1.885 * [taylor]: Taking taylor expansion of 1 in n 1.885 * [backup-simplify]: Simplify 1 into 1 1.885 * [backup-simplify]: Simplify 1 into 1 1.885 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.886 * [backup-simplify]: Simplify (- 0) into 0 1.886 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 1.886 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.886 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 1.886 * [backup-simplify]: Simplify (- (/ (/ 1 n) 1) (+ (* -1 (/ (/ 1 n) 1)))) into (* 2 (/ 1 n)) 1.887 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 n))) (* 0 -1)) into (- (* 2 (/ 1 n))) 1.887 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 1.887 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 1.887 * [taylor]: Taking taylor expansion of 2 in n 1.887 * [backup-simplify]: Simplify 2 into 2 1.887 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.887 * [taylor]: Taking taylor expansion of n in n 1.887 * [backup-simplify]: Simplify 0 into 0 1.887 * [backup-simplify]: Simplify 1 into 1 1.887 * [backup-simplify]: Simplify (/ 1 1) into 1 1.888 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.888 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 1.888 * [backup-simplify]: Simplify (- 0) into 0 1.888 * [backup-simplify]: Simplify 0 into 0 1.888 * [backup-simplify]: Simplify 0 into 0 1.888 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 1.889 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.889 * [backup-simplify]: Simplify (- 0) into 0 1.889 * [backup-simplify]: Simplify (+ 0 0) into 0 1.890 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.890 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 1.890 * [backup-simplify]: Simplify (+ 0 0) into 0 1.891 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ (/ 1 n) 1)))) into (- (* 2 (/ 1 (pow n 2)))) 1.891 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow n 2))))) (+ (* 0 (* 2 (/ 1 n))) (* 0 -1))) into (* 2 (/ 1 (pow n 2))) 1.891 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 1.891 * [taylor]: Taking taylor expansion of 2 in n 1.891 * [backup-simplify]: Simplify 2 into 2 1.891 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 1.891 * [taylor]: Taking taylor expansion of (pow n 2) in n 1.891 * [taylor]: Taking taylor expansion of n in n 1.891 * [backup-simplify]: Simplify 0 into 0 1.891 * [backup-simplify]: Simplify 1 into 1 1.892 * [backup-simplify]: Simplify (* 1 1) into 1 1.892 * [backup-simplify]: Simplify (/ 1 1) into 1 1.893 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.893 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.893 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.894 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.894 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 1.894 * [backup-simplify]: Simplify 0 into 0 1.895 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.896 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 1.896 * [backup-simplify]: Simplify (- 0) into 0 1.896 * [backup-simplify]: Simplify 0 into 0 1.896 * [backup-simplify]: Simplify 0 into 0 1.896 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 1.897 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.897 * [backup-simplify]: Simplify (- 0) into 0 1.902 * [backup-simplify]: Simplify (+ 0 0) into 0 1.902 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.902 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 1.903 * [backup-simplify]: Simplify (+ 0 0) into 0 1.904 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ 0 1)) (* (- (* 2 (/ 1 (pow n 2)))) (/ (/ 1 n) 1)))) into (* 2 (/ 1 (pow n 3))) 1.904 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 (pow n 3)))) (+ (* 0 (- (* 2 (/ 1 (pow n 2))))) (+ (* 0 (* 2 (/ 1 n))) (* 0 -1)))) into (- (* 2 (/ 1 (pow n 3)))) 1.904 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 1.904 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 1.904 * [taylor]: Taking taylor expansion of 2 in n 1.904 * [backup-simplify]: Simplify 2 into 2 1.904 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 1.904 * [taylor]: Taking taylor expansion of (pow n 3) in n 1.904 * [taylor]: Taking taylor expansion of n in n 1.904 * [backup-simplify]: Simplify 0 into 0 1.905 * [backup-simplify]: Simplify 1 into 1 1.905 * [backup-simplify]: Simplify (* 1 1) into 1 1.905 * [backup-simplify]: Simplify (* 1 1) into 1 1.905 * [backup-simplify]: Simplify (/ 1 1) into 1 1.906 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.906 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.907 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.907 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.908 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.908 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.909 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.909 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.910 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.910 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.911 * [backup-simplify]: Simplify (- 0) into 0 1.911 * [backup-simplify]: Simplify 0 into 0 1.911 * [backup-simplify]: Simplify 1 into 1 1.911 * * * * [progress]: [ 2 / 2 ] generating series at (2) 1.911 * [backup-simplify]: Simplify (/ -1 (/ (- f n) (+ f n))) into (* -1 (/ (+ n f) (- f n))) 1.911 * [approximate]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in (f n) around 0 1.911 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in n 1.911 * [taylor]: Taking taylor expansion of -1 in n 1.911 * [backup-simplify]: Simplify -1 into -1 1.911 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in n 1.911 * [taylor]: Taking taylor expansion of (+ n f) in n 1.911 * [taylor]: Taking taylor expansion of n in n 1.911 * [backup-simplify]: Simplify 0 into 0 1.911 * [backup-simplify]: Simplify 1 into 1 1.911 * [taylor]: Taking taylor expansion of f in n 1.911 * [backup-simplify]: Simplify f into f 1.911 * [taylor]: Taking taylor expansion of (- f n) in n 1.911 * [taylor]: Taking taylor expansion of f in n 1.911 * [backup-simplify]: Simplify f into f 1.911 * [taylor]: Taking taylor expansion of n in n 1.911 * [backup-simplify]: Simplify 0 into 0 1.911 * [backup-simplify]: Simplify 1 into 1 1.911 * [backup-simplify]: Simplify (+ 0 f) into f 1.912 * [backup-simplify]: Simplify (- 0) into 0 1.912 * [backup-simplify]: Simplify (+ f 0) into f 1.912 * [backup-simplify]: Simplify (/ f f) into 1 1.912 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 1.912 * [taylor]: Taking taylor expansion of -1 in f 1.912 * [backup-simplify]: Simplify -1 into -1 1.912 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 1.912 * [taylor]: Taking taylor expansion of (+ n f) in f 1.912 * [taylor]: Taking taylor expansion of n in f 1.912 * [backup-simplify]: Simplify n into n 1.912 * [taylor]: Taking taylor expansion of f in f 1.912 * [backup-simplify]: Simplify 0 into 0 1.912 * [backup-simplify]: Simplify 1 into 1 1.912 * [taylor]: Taking taylor expansion of (- f n) in f 1.912 * [taylor]: Taking taylor expansion of f in f 1.912 * [backup-simplify]: Simplify 0 into 0 1.912 * [backup-simplify]: Simplify 1 into 1 1.912 * [taylor]: Taking taylor expansion of n in f 1.912 * [backup-simplify]: Simplify n into n 1.912 * [backup-simplify]: Simplify (+ n 0) into n 1.912 * [backup-simplify]: Simplify (- n) into (- n) 1.912 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 1.912 * [backup-simplify]: Simplify (/ n (- n)) into -1 1.912 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 1.912 * [taylor]: Taking taylor expansion of -1 in f 1.912 * [backup-simplify]: Simplify -1 into -1 1.912 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 1.912 * [taylor]: Taking taylor expansion of (+ n f) in f 1.912 * [taylor]: Taking taylor expansion of n in f 1.912 * [backup-simplify]: Simplify n into n 1.912 * [taylor]: Taking taylor expansion of f in f 1.912 * [backup-simplify]: Simplify 0 into 0 1.912 * [backup-simplify]: Simplify 1 into 1 1.912 * [taylor]: Taking taylor expansion of (- f n) in f 1.912 * [taylor]: Taking taylor expansion of f in f 1.912 * [backup-simplify]: Simplify 0 into 0 1.912 * [backup-simplify]: Simplify 1 into 1 1.912 * [taylor]: Taking taylor expansion of n in f 1.912 * [backup-simplify]: Simplify n into n 1.912 * [backup-simplify]: Simplify (+ n 0) into n 1.912 * [backup-simplify]: Simplify (- n) into (- n) 1.912 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 1.912 * [backup-simplify]: Simplify (/ n (- n)) into -1 1.913 * [backup-simplify]: Simplify (* -1 -1) into 1 1.913 * [taylor]: Taking taylor expansion of 1 in n 1.913 * [backup-simplify]: Simplify 1 into 1 1.913 * [backup-simplify]: Simplify 1 into 1 1.913 * [backup-simplify]: Simplify (+ 0 1) into 1 1.913 * [backup-simplify]: Simplify (- 0) into 0 1.914 * [backup-simplify]: Simplify (+ 1 0) into 1 1.914 * [backup-simplify]: Simplify (- (/ 1 (- n)) (+ (* -1 (/ 1 (- n))))) into (- (* 2 (/ 1 n))) 1.914 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 n)))) (* 0 -1)) into (* 2 (/ 1 n)) 1.914 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 1.914 * [taylor]: Taking taylor expansion of 2 in n 1.914 * [backup-simplify]: Simplify 2 into 2 1.914 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.914 * [taylor]: Taking taylor expansion of n in n 1.914 * [backup-simplify]: Simplify 0 into 0 1.914 * [backup-simplify]: Simplify 1 into 1 1.914 * [backup-simplify]: Simplify (/ 1 1) into 1 1.915 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.916 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 1.916 * [backup-simplify]: Simplify 0 into 0 1.916 * [backup-simplify]: Simplify 0 into 0 1.916 * [backup-simplify]: Simplify (+ 0 0) into 0 1.917 * [backup-simplify]: Simplify (- 0) into 0 1.917 * [backup-simplify]: Simplify (+ 0 0) into 0 1.917 * [backup-simplify]: Simplify (- (/ 0 (- n)) (+ (* -1 (/ 0 (- n))) (* (- (* 2 (/ 1 n))) (/ 1 (- n))))) into (- (* 2 (/ 1 (pow n 2)))) 1.918 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow n 2))))) (+ (* 0 (- (* 2 (/ 1 n)))) (* 0 -1))) into (* 2 (/ 1 (pow n 2))) 1.918 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 1.918 * [taylor]: Taking taylor expansion of 2 in n 1.918 * [backup-simplify]: Simplify 2 into 2 1.918 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 1.918 * [taylor]: Taking taylor expansion of (pow n 2) in n 1.918 * [taylor]: Taking taylor expansion of n in n 1.918 * [backup-simplify]: Simplify 0 into 0 1.918 * [backup-simplify]: Simplify 1 into 1 1.919 * [backup-simplify]: Simplify (* 1 1) into 1 1.919 * [backup-simplify]: Simplify (/ 1 1) into 1 1.920 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.921 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.922 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.923 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.924 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 1.924 * [backup-simplify]: Simplify 0 into 0 1.925 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.926 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 1.926 * [backup-simplify]: Simplify 0 into 0 1.926 * [backup-simplify]: Simplify 0 into 0 1.926 * [backup-simplify]: Simplify (+ 0 0) into 0 1.927 * [backup-simplify]: Simplify (- 0) into 0 1.927 * [backup-simplify]: Simplify (+ 0 0) into 0 1.928 * [backup-simplify]: Simplify (- (/ 0 (- n)) (+ (* -1 (/ 0 (- n))) (* (- (* 2 (/ 1 n))) (/ 0 (- n))) (* (- (* 2 (/ 1 (pow n 2)))) (/ 1 (- n))))) into (- (* 2 (/ 1 (pow n 3)))) 1.929 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow n 3))))) (+ (* 0 (- (* 2 (/ 1 (pow n 2))))) (+ (* 0 (- (* 2 (/ 1 n)))) (* 0 -1)))) into (* 2 (/ 1 (pow n 3))) 1.929 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 1.929 * [taylor]: Taking taylor expansion of 2 in n 1.929 * [backup-simplify]: Simplify 2 into 2 1.929 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 1.929 * [taylor]: Taking taylor expansion of (pow n 3) in n 1.929 * [taylor]: Taking taylor expansion of n in n 1.929 * [backup-simplify]: Simplify 0 into 0 1.929 * [backup-simplify]: Simplify 1 into 1 1.929 * [backup-simplify]: Simplify (* 1 1) into 1 1.930 * [backup-simplify]: Simplify (* 1 1) into 1 1.930 * [backup-simplify]: Simplify (/ 1 1) into 1 1.931 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.932 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.933 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.934 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.935 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.936 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.937 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.937 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.938 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.940 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.940 * [backup-simplify]: Simplify 0 into 0 1.940 * [backup-simplify]: Simplify 1 into 1 1.940 * [backup-simplify]: Simplify (/ -1 (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n)))) into (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) 1.940 * [approximate]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in (f n) around 0 1.940 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in n 1.940 * [taylor]: Taking taylor expansion of -1 in n 1.940 * [backup-simplify]: Simplify -1 into -1 1.940 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in n 1.940 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 1.940 * [taylor]: Taking taylor expansion of (/ 1 f) in n 1.940 * [taylor]: Taking taylor expansion of f in n 1.940 * [backup-simplify]: Simplify f into f 1.941 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 1.941 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.941 * [taylor]: Taking taylor expansion of n in n 1.941 * [backup-simplify]: Simplify 0 into 0 1.941 * [backup-simplify]: Simplify 1 into 1 1.941 * [backup-simplify]: Simplify (/ 1 1) into 1 1.941 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 1.941 * [taylor]: Taking taylor expansion of (/ 1 f) in n 1.941 * [taylor]: Taking taylor expansion of f in n 1.941 * [backup-simplify]: Simplify f into f 1.941 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 1.941 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.941 * [taylor]: Taking taylor expansion of n in n 1.941 * [backup-simplify]: Simplify 0 into 0 1.942 * [backup-simplify]: Simplify 1 into 1 1.942 * [backup-simplify]: Simplify (/ 1 1) into 1 1.942 * [backup-simplify]: Simplify (+ 0 1) into 1 1.943 * [backup-simplify]: Simplify (- 1) into -1 1.943 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.944 * [backup-simplify]: Simplify (/ 1 -1) into -1 1.944 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 1.944 * [taylor]: Taking taylor expansion of -1 in f 1.944 * [backup-simplify]: Simplify -1 into -1 1.944 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 1.944 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 1.944 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.944 * [taylor]: Taking taylor expansion of f in f 1.944 * [backup-simplify]: Simplify 0 into 0 1.944 * [backup-simplify]: Simplify 1 into 1 1.945 * [backup-simplify]: Simplify (/ 1 1) into 1 1.945 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.945 * [taylor]: Taking taylor expansion of n in f 1.945 * [backup-simplify]: Simplify n into n 1.945 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.945 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 1.945 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.945 * [taylor]: Taking taylor expansion of f in f 1.945 * [backup-simplify]: Simplify 0 into 0 1.945 * [backup-simplify]: Simplify 1 into 1 1.945 * [backup-simplify]: Simplify (/ 1 1) into 1 1.945 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.945 * [taylor]: Taking taylor expansion of n in f 1.945 * [backup-simplify]: Simplify n into n 1.945 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.946 * [backup-simplify]: Simplify (+ 1 0) into 1 1.946 * [backup-simplify]: Simplify (+ 1 0) into 1 1.947 * [backup-simplify]: Simplify (/ 1 1) into 1 1.947 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 1.947 * [taylor]: Taking taylor expansion of -1 in f 1.947 * [backup-simplify]: Simplify -1 into -1 1.947 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 1.947 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 1.947 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.947 * [taylor]: Taking taylor expansion of f in f 1.947 * [backup-simplify]: Simplify 0 into 0 1.947 * [backup-simplify]: Simplify 1 into 1 1.947 * [backup-simplify]: Simplify (/ 1 1) into 1 1.948 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.948 * [taylor]: Taking taylor expansion of n in f 1.948 * [backup-simplify]: Simplify n into n 1.948 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.948 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 1.948 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.948 * [taylor]: Taking taylor expansion of f in f 1.948 * [backup-simplify]: Simplify 0 into 0 1.948 * [backup-simplify]: Simplify 1 into 1 1.948 * [backup-simplify]: Simplify (/ 1 1) into 1 1.948 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.948 * [taylor]: Taking taylor expansion of n in f 1.948 * [backup-simplify]: Simplify n into n 1.948 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.949 * [backup-simplify]: Simplify (+ 1 0) into 1 1.949 * [backup-simplify]: Simplify (+ 1 0) into 1 1.950 * [backup-simplify]: Simplify (/ 1 1) into 1 1.950 * [backup-simplify]: Simplify (* -1 1) into -1 1.950 * [taylor]: Taking taylor expansion of -1 in n 1.950 * [backup-simplify]: Simplify -1 into -1 1.950 * [backup-simplify]: Simplify -1 into -1 1.951 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.951 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 1.952 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.952 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 1.952 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) 1.952 * [backup-simplify]: Simplify (- (/ (/ 1 n) 1) (+ (* 1 (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 n)) 1.953 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 n))) (* 0 1)) into (- (* 2 (/ 1 n))) 1.953 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 1.953 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 1.953 * [taylor]: Taking taylor expansion of 2 in n 1.953 * [backup-simplify]: Simplify 2 into 2 1.953 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.953 * [taylor]: Taking taylor expansion of n in n 1.953 * [backup-simplify]: Simplify 0 into 0 1.953 * [backup-simplify]: Simplify 1 into 1 1.954 * [backup-simplify]: Simplify (/ 1 1) into 1 1.955 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.955 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 1.956 * [backup-simplify]: Simplify (- 0) into 0 1.956 * [backup-simplify]: Simplify 0 into 0 1.956 * [backup-simplify]: Simplify 0 into 0 1.957 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.957 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 1.958 * [backup-simplify]: Simplify (+ 0 0) into 0 1.958 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.959 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 1.959 * [backup-simplify]: Simplify (- 0) into 0 1.960 * [backup-simplify]: Simplify (+ 0 0) into 0 1.961 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 (pow n 2))) 1.962 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 (pow n 2)))) (+ (* 0 (* 2 (/ 1 n))) (* 0 1))) into (- (* 2 (/ 1 (pow n 2)))) 1.962 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 1.962 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 1.962 * [taylor]: Taking taylor expansion of 2 in n 1.962 * [backup-simplify]: Simplify 2 into 2 1.962 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 1.962 * [taylor]: Taking taylor expansion of (pow n 2) in n 1.962 * [taylor]: Taking taylor expansion of n in n 1.962 * [backup-simplify]: Simplify 0 into 0 1.962 * [backup-simplify]: Simplify 1 into 1 1.962 * [backup-simplify]: Simplify (* 1 1) into 1 1.963 * [backup-simplify]: Simplify (/ 1 1) into 1 1.964 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.964 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.965 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.966 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.967 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 1.968 * [backup-simplify]: Simplify (- 0) into 0 1.968 * [backup-simplify]: Simplify 0 into 0 1.969 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.970 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 1.970 * [backup-simplify]: Simplify (- 0) into 0 1.970 * [backup-simplify]: Simplify 0 into 0 1.970 * [backup-simplify]: Simplify 0 into 0 1.971 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.972 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 1.972 * [backup-simplify]: Simplify (+ 0 0) into 0 1.973 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.973 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 1.974 * [backup-simplify]: Simplify (- 0) into 0 1.974 * [backup-simplify]: Simplify (+ 0 0) into 0 1.976 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ 0 1)) (* (* 2 (/ 1 (pow n 2))) (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 (pow n 3))) 1.977 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 (pow n 3)))) (+ (* 0 (* 2 (/ 1 (pow n 2)))) (+ (* 0 (* 2 (/ 1 n))) (* 0 1)))) into (- (* 2 (/ 1 (pow n 3)))) 1.977 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 1.977 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 1.977 * [taylor]: Taking taylor expansion of 2 in n 1.977 * [backup-simplify]: Simplify 2 into 2 1.977 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 1.977 * [taylor]: Taking taylor expansion of (pow n 3) in n 1.977 * [taylor]: Taking taylor expansion of n in n 1.977 * [backup-simplify]: Simplify 0 into 0 1.977 * [backup-simplify]: Simplify 1 into 1 1.977 * [backup-simplify]: Simplify (* 1 1) into 1 1.978 * [backup-simplify]: Simplify (* 1 1) into 1 1.978 * [backup-simplify]: Simplify (/ 1 1) into 1 1.979 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.980 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.981 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.982 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.983 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.984 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.984 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.985 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.986 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.988 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.988 * [backup-simplify]: Simplify (- 0) into 0 1.988 * [backup-simplify]: Simplify 0 into 0 1.988 * [backup-simplify]: Simplify -1 into -1 1.989 * [backup-simplify]: Simplify (/ -1 (/ (- (/ 1 (- f)) (/ 1 (- n))) (+ (/ 1 (- f)) (/ 1 (- n))))) into (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) 1.989 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in (f n) around 0 1.989 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in n 1.989 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 1.989 * [taylor]: Taking taylor expansion of (/ 1 f) in n 1.989 * [taylor]: Taking taylor expansion of f in n 1.989 * [backup-simplify]: Simplify f into f 1.989 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 1.989 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.989 * [taylor]: Taking taylor expansion of n in n 1.989 * [backup-simplify]: Simplify 0 into 0 1.989 * [backup-simplify]: Simplify 1 into 1 1.989 * [backup-simplify]: Simplify (/ 1 1) into 1 1.989 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 1.989 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.989 * [taylor]: Taking taylor expansion of n in n 1.989 * [backup-simplify]: Simplify 0 into 0 1.989 * [backup-simplify]: Simplify 1 into 1 1.990 * [backup-simplify]: Simplify (/ 1 1) into 1 1.990 * [taylor]: Taking taylor expansion of (/ 1 f) in n 1.990 * [taylor]: Taking taylor expansion of f in n 1.990 * [backup-simplify]: Simplify f into f 1.990 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 1.990 * [backup-simplify]: Simplify (+ 0 1) into 1 1.991 * [backup-simplify]: Simplify (+ 1 0) into 1 1.991 * [backup-simplify]: Simplify (/ 1 1) into 1 1.991 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 1.991 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 1.991 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.992 * [taylor]: Taking taylor expansion of f in f 1.992 * [backup-simplify]: Simplify 0 into 0 1.992 * [backup-simplify]: Simplify 1 into 1 1.992 * [backup-simplify]: Simplify (/ 1 1) into 1 1.992 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.992 * [taylor]: Taking taylor expansion of n in f 1.992 * [backup-simplify]: Simplify n into n 1.992 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.992 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 1.992 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.992 * [taylor]: Taking taylor expansion of n in f 1.992 * [backup-simplify]: Simplify n into n 1.992 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.992 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.992 * [taylor]: Taking taylor expansion of f in f 1.992 * [backup-simplify]: Simplify 0 into 0 1.992 * [backup-simplify]: Simplify 1 into 1 1.993 * [backup-simplify]: Simplify (/ 1 1) into 1 1.993 * [backup-simplify]: Simplify (+ 1 0) into 1 1.994 * [backup-simplify]: Simplify (- 1) into -1 1.994 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.995 * [backup-simplify]: Simplify (/ 1 -1) into -1 1.995 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 1.995 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 1.995 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.995 * [taylor]: Taking taylor expansion of f in f 1.995 * [backup-simplify]: Simplify 0 into 0 1.995 * [backup-simplify]: Simplify 1 into 1 1.995 * [backup-simplify]: Simplify (/ 1 1) into 1 1.995 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.995 * [taylor]: Taking taylor expansion of n in f 1.995 * [backup-simplify]: Simplify n into n 1.995 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.995 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 1.995 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.995 * [taylor]: Taking taylor expansion of n in f 1.995 * [backup-simplify]: Simplify n into n 1.996 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.996 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.996 * [taylor]: Taking taylor expansion of f in f 1.996 * [backup-simplify]: Simplify 0 into 0 1.996 * [backup-simplify]: Simplify 1 into 1 1.996 * [backup-simplify]: Simplify (/ 1 1) into 1 1.997 * [backup-simplify]: Simplify (+ 1 0) into 1 1.997 * [backup-simplify]: Simplify (- 1) into -1 1.997 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.998 * [backup-simplify]: Simplify (/ 1 -1) into -1 1.998 * [taylor]: Taking taylor expansion of -1 in n 1.998 * [backup-simplify]: Simplify -1 into -1 1.998 * [backup-simplify]: Simplify -1 into -1 1.999 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.999 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 2.000 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.000 * [backup-simplify]: Simplify (- 0) into 0 2.000 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 2.000 * [backup-simplify]: Simplify (- (/ (/ 1 n) -1) (+ (* -1 (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 n))) 2.001 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 2.001 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 2.001 * [taylor]: Taking taylor expansion of 2 in n 2.001 * [backup-simplify]: Simplify 2 into 2 2.001 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.001 * [taylor]: Taking taylor expansion of n in n 2.001 * [backup-simplify]: Simplify 0 into 0 2.001 * [backup-simplify]: Simplify 1 into 1 2.001 * [backup-simplify]: Simplify (/ 1 1) into 1 2.002 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.003 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 2.003 * [backup-simplify]: Simplify (- 0) into 0 2.003 * [backup-simplify]: Simplify 0 into 0 2.003 * [backup-simplify]: Simplify 0 into 0 2.004 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.004 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 2.005 * [backup-simplify]: Simplify (+ 0 0) into 0 2.005 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 2.006 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.006 * [backup-simplify]: Simplify (- 0) into 0 2.007 * [backup-simplify]: Simplify (+ 0 0) into 0 2.008 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 n))) (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 (pow n 2)))) 2.008 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 2.008 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 2.008 * [taylor]: Taking taylor expansion of 2 in n 2.008 * [backup-simplify]: Simplify 2 into 2 2.008 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 2.008 * [taylor]: Taking taylor expansion of (pow n 2) in n 2.008 * [taylor]: Taking taylor expansion of n in n 2.008 * [backup-simplify]: Simplify 0 into 0 2.008 * [backup-simplify]: Simplify 1 into 1 2.009 * [backup-simplify]: Simplify (* 1 1) into 1 2.009 * [backup-simplify]: Simplify (/ 1 1) into 1 2.010 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.011 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.012 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.013 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.014 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 2.014 * [backup-simplify]: Simplify (- 0) into 0 2.014 * [backup-simplify]: Simplify 0 into 0 2.015 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.016 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 2.017 * [backup-simplify]: Simplify (- 0) into 0 2.017 * [backup-simplify]: Simplify 0 into 0 2.017 * [backup-simplify]: Simplify 0 into 0 2.018 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.018 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 2.019 * [backup-simplify]: Simplify (+ 0 0) into 0 2.019 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 2.020 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.020 * [backup-simplify]: Simplify (- 0) into 0 2.021 * [backup-simplify]: Simplify (+ 0 0) into 0 2.022 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 n))) (/ 0 -1)) (* (- (* 2 (/ 1 (pow n 2)))) (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 (pow n 3)))) 2.022 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 2.022 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 2.022 * [taylor]: Taking taylor expansion of 2 in n 2.022 * [backup-simplify]: Simplify 2 into 2 2.022 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 2.023 * [taylor]: Taking taylor expansion of (pow n 3) in n 2.023 * [taylor]: Taking taylor expansion of n in n 2.023 * [backup-simplify]: Simplify 0 into 0 2.023 * [backup-simplify]: Simplify 1 into 1 2.023 * [backup-simplify]: Simplify (* 1 1) into 1 2.023 * [backup-simplify]: Simplify (* 1 1) into 1 2.024 * [backup-simplify]: Simplify (/ 1 1) into 1 2.025 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.026 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.027 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.028 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.028 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.029 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.030 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.031 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.032 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.033 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.034 * [backup-simplify]: Simplify (- 0) into 0 2.034 * [backup-simplify]: Simplify 0 into 0 2.034 * [backup-simplify]: Simplify -1 into -1 2.034 * * * [progress]: simplifying candidates 2.034 * * * * [progress]: [ 1 / 176 ] simplifiying candidate # 2.034 * * * * [progress]: [ 2 / 176 ] simplifiying candidate # 2.034 * * * * [progress]: [ 3 / 176 ] simplifiying candidate # 2.034 * * * * [progress]: [ 4 / 176 ] simplifiying candidate # 2.034 * * * * [progress]: [ 5 / 176 ] simplifiying candidate # 2.034 * * * * [progress]: [ 6 / 176 ] simplifiying candidate # 2.034 * * * * [progress]: [ 7 / 176 ] simplifiying candidate # 2.034 * * * * [progress]: [ 8 / 176 ] simplifiying candidate # 2.035 * * * * [progress]: [ 9 / 176 ] simplifiying candidate # 2.035 * * * * [progress]: [ 10 / 176 ] simplifiying candidate # 2.035 * * * * [progress]: [ 11 / 176 ] simplifiying candidate # 2.035 * * * * [progress]: [ 12 / 176 ] simplifiying candidate # 2.035 * * * * [progress]: [ 13 / 176 ] simplifiying candidate # 2.035 * * * * [progress]: [ 14 / 176 ] simplifiying candidate # 2.035 * * * * [progress]: [ 15 / 176 ] simplifiying candidate # 2.035 * * * * [progress]: [ 16 / 176 ] simplifiying candidate # 2.035 * * * * [progress]: [ 17 / 176 ] simplifiying candidate # 2.035 * * * * [progress]: [ 18 / 176 ] simplifiying candidate # 2.035 * * * * [progress]: [ 19 / 176 ] simplifiying candidate # 2.035 * * * * [progress]: [ 20 / 176 ] simplifiying candidate # 2.035 * * * * [progress]: [ 21 / 176 ] simplifiying candidate # 2.035 * * * * [progress]: [ 22 / 176 ] simplifiying candidate # 2.035 * * * * [progress]: [ 23 / 176 ] simplifiying candidate # 2.036 * * * * [progress]: [ 24 / 176 ] simplifiying candidate # 2.036 * * * * [progress]: [ 25 / 176 ] simplifiying candidate # 2.036 * * * * [progress]: [ 26 / 176 ] 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[progress]: [ 42 / 176 ] simplifiying candidate # 2.037 * * * * [progress]: [ 43 / 176 ] simplifiying candidate # 2.037 * * * * [progress]: [ 44 / 176 ] simplifiying candidate # 2.037 * * * * [progress]: [ 45 / 176 ] simplifiying candidate # 2.037 * * * * [progress]: [ 46 / 176 ] simplifiying candidate # 2.037 * * * * [progress]: [ 47 / 176 ] simplifiying candidate #real (real->posit16 (/ (- f n) (+ f n))))))> 2.037 * * * * [progress]: [ 48 / 176 ] simplifiying candidate # 2.037 * * * * [progress]: [ 49 / 176 ] simplifiying candidate # 2.037 * * * * [progress]: [ 50 / 176 ] simplifiying candidate # 2.037 * * * * [progress]: [ 51 / 176 ] simplifiying candidate # 2.037 * * * * [progress]: [ 52 / 176 ] simplifiying candidate # 2.037 * * * * [progress]: [ 53 / 176 ] simplifiying candidate # 2.038 * * * * [progress]: [ 54 / 176 ] simplifiying candidate # 2.038 * * * * [progress]: [ 55 / 176 ] simplifiying candidate # 2.038 * * * * [progress]: [ 56 / 176 ] simplifiying candidate # 2.038 * * * * [progress]: [ 57 / 176 ] simplifiying candidate # 2.038 * * * * [progress]: [ 58 / 176 ] simplifiying candidate # 2.038 * * * * [progress]: [ 59 / 176 ] simplifiying candidate # 2.038 * * * * [progress]: [ 60 / 176 ] simplifiying candidate # 2.038 * * * * [progress]: [ 61 / 176 ] simplifiying candidate # 2.038 * * * * [progress]: [ 62 / 176 ] simplifiying candidate # 2.038 * * * * [progress]: [ 63 / 176 ] simplifiying candidate # 2.038 * * * * [progress]: [ 64 / 176 ] simplifiying candidate # 2.038 * * * * [progress]: [ 65 / 176 ] simplifiying candidate # 2.038 * * * * [progress]: [ 66 / 176 ] simplifiying candidate # 2.038 * * * * [progress]: [ 67 / 176 ] simplifiying candidate # 2.039 * * * * [progress]: [ 68 / 176 ] simplifiying candidate # 2.039 * * * * [progress]: [ 69 / 176 ] simplifiying candidate # 2.039 * * * * [progress]: [ 70 / 176 ] simplifiying candidate # 2.039 * * * * [progress]: [ 71 / 176 ] simplifiying candidate # 2.039 * * * * [progress]: [ 72 / 176 ] 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simplifiying candidate # 2.044 * * * * [progress]: [ 150 / 176 ] simplifiying candidate # 2.044 * * * * [progress]: [ 151 / 176 ] simplifiying candidate # 2.044 * * * * [progress]: [ 152 / 176 ] simplifiying candidate # 2.044 * * * * [progress]: [ 153 / 176 ] simplifiying candidate # 2.044 * * * * [progress]: [ 154 / 176 ] simplifiying candidate # 2.045 * * * * [progress]: [ 155 / 176 ] simplifiying candidate # 2.045 * * * * [progress]: [ 156 / 176 ] simplifiying candidate # 2.045 * * * * [progress]: [ 157 / 176 ] simplifiying candidate # 2.045 * * * * [progress]: [ 158 / 176 ] simplifiying candidate # 2.045 * * * * [progress]: [ 159 / 176 ] simplifiying candidate # 2.045 * * * * [progress]: [ 160 / 176 ] simplifiying candidate # 2.045 * * * * [progress]: [ 161 / 176 ] simplifiying candidate # 2.045 * * * * [progress]: [ 162 / 176 ] simplifiying candidate # 2.045 * * * * [progress]: [ 163 / 176 ] simplifiying candidate # 2.045 * * * * [progress]: [ 164 / 176 ] simplifiying candidate # 2.045 * * * * [progress]: [ 165 / 176 ] simplifiying candidate # 2.045 * * * * [progress]: [ 166 / 176 ] simplifiying candidate # 2.045 * * * * [progress]: [ 167 / 176 ] simplifiying candidate # 2.045 * * * * [progress]: [ 168 / 176 ] simplifiying candidate # 2.045 * * * * [progress]: [ 169 / 176 ] simplifiying candidate # 2.046 * * * * [progress]: [ 170 / 176 ] simplifiying candidate #real (real->posit16 (/ -1 (/ (- f n) (+ f n))))))> 2.046 * * * * [progress]: [ 171 / 176 ] simplifiying candidate # 2.046 * * * * [progress]: [ 172 / 176 ] simplifiying candidate # 2.046 * * * * [progress]: [ 173 / 176 ] simplifiying candidate # 2.046 * * * * [progress]: [ 174 / 176 ] simplifiying candidate # 2.046 * * * * [progress]: [ 175 / 176 ] simplifiying candidate # 2.046 * * * * [progress]: [ 176 / 176 ] simplifiying candidate # 2.054 * [simplify]: Simplifying: (- (log (- f n)) (log (+ f n))) (log (/ (- f n) (+ f n))) (exp (/ (- f n) (+ f n))) (/ (* (* (- f n) (- f n)) (- f n)) (* (* (+ f n) (+ f n)) (+ f n))) (* (cbrt (/ (- f n) (+ f n))) (cbrt (/ (- f n) (+ f n)))) (cbrt (/ (- f n) (+ f n))) (* (* (/ (- f n) (+ f n)) (/ (- f n) (+ f n))) (/ (- f n) (+ f n))) (sqrt (/ (- f n) (+ f n))) (sqrt (/ (- f n) (+ f n))) (- (- f n)) (- (+ f n)) (/ f (+ f n)) (/ n (+ f n)) (/ (* (cbrt (- f n)) (cbrt (- f n))) (* (cbrt (+ f n)) (cbrt (+ f n)))) (/ (cbrt (- f n)) (cbrt (+ f n))) (/ (* (cbrt (- f n)) (cbrt (- f n))) (sqrt (+ f n))) (/ (cbrt (- f n)) (sqrt (+ f n))) (/ (* (cbrt (- f n)) (cbrt (- f n))) 1) (/ (cbrt (- f n)) (+ f n)) (/ (* (cbrt (- f n)) (cbrt (- f n))) 1) (/ (cbrt (- f n)) (+ f n)) (/ (sqrt (- f n)) (* (cbrt (+ f n)) (cbrt (+ f n)))) (/ (sqrt (- f n)) (cbrt (+ f n))) (/ (sqrt (- f n)) (sqrt (+ f n))) (/ (sqrt (- f n)) (sqrt (+ f n))) (/ (sqrt (- f n)) 1) (/ (sqrt (- f n)) (+ f n)) (/ (sqrt (- f n)) 1) (/ (sqrt (- f n)) (+ f n)) (/ 1 (* (cbrt (+ f n)) (cbrt (+ f n)))) (/ (- f n) (cbrt (+ f n))) (/ 1 (sqrt (+ f n))) (/ (- f n) (sqrt (+ f n))) (/ 1 1) (/ (- f n) (+ f n)) (/ 1 1) (/ (- f n) (+ f n)) (/ (+ (sqrt f) (sqrt n)) (* (cbrt (+ f n)) (cbrt (+ f n)))) (/ (- (sqrt f) (sqrt n)) (cbrt (+ f n))) (/ (+ (sqrt f) (sqrt n)) (sqrt (+ f n))) (/ (- (sqrt f) (sqrt n)) (sqrt (+ f n))) (/ (+ (sqrt f) (sqrt n)) 1) (/ (- (sqrt f) (sqrt n)) (+ f n)) (/ (+ (sqrt f) (sqrt n)) 1) (/ (- (sqrt f) (sqrt n)) (+ f n)) (/ 1 (* (cbrt (+ f n)) (cbrt (+ f n)))) (/ (- f n) (cbrt (+ f n))) (/ 1 (sqrt (+ f n))) (/ (- f n) (sqrt (+ f n))) (/ 1 1) (/ (- f n) (+ f n)) (/ 1 1) (/ (- f n) (+ f n)) (/ 1 (+ f n)) (/ (+ f n) (- f n)) (/ (- f n) (* (cbrt (+ f n)) (cbrt (+ f n)))) (/ (- f n) (sqrt (+ f n))) (/ (- f n) 1) (/ (- f n) 1) (/ (+ f n) (cbrt (- f n))) (/ (+ f n) (sqrt (- f n))) (/ (+ f n) (- f n)) (/ (+ f n) (- (sqrt f) (sqrt n))) (/ (+ f n) (- f n)) (/ (- f n) (+ (pow f 3) (pow n 3))) (/ (- f n) (- (* f f) (* n n))) (* (+ f n) (+ (* f f) (+ (* n n) (* f n)))) (* (+ f n) (+ f n)) (real->posit16 (/ (- f n) (+ f n))) (- (log -1) (- (log (- f n)) (log (+ f n)))) (- (log -1) (log (/ (- f n) (+ f n)))) (log (/ -1 (/ (- f n) (+ f n)))) (exp (/ -1 (/ (- f n) (+ f n)))) (/ (* (* -1 -1) -1) (/ (* (* (- f n) (- f n)) (- f n)) (* (* (+ f n) (+ f n)) (+ f n)))) (/ (* (* -1 -1) -1) (* (* (/ (- f n) (+ f n)) (/ (- f n) (+ f n))) (/ (- f n) (+ f n)))) (* (cbrt (/ -1 (/ (- f n) (+ f n)))) (cbrt (/ -1 (/ (- f n) (+ f n))))) (cbrt (/ -1 (/ (- f n) (+ f n)))) (* (* (/ -1 (/ (- f n) (+ f n))) (/ -1 (/ (- f n) (+ f n)))) (/ -1 (/ (- f n) (+ f n)))) (sqrt (/ -1 (/ (- f n) (+ f n)))) (sqrt (/ -1 (/ (- f n) (+ f n)))) (- -1) (- (/ (- f n) (+ f n))) (/ (* (cbrt -1) (cbrt -1)) (* (cbrt (/ (- f n) (+ f n))) (cbrt (/ (- f n) (+ f n))))) (/ (cbrt -1) (cbrt (/ (- f n) (+ f n)))) (/ (* (cbrt -1) (cbrt -1)) (sqrt (/ (- f n) (+ f n)))) (/ (cbrt -1) (sqrt (/ (- f n) (+ f n)))) (/ (* (cbrt -1) (cbrt -1)) (/ (* (cbrt (- f n)) (cbrt (- f n))) (* (cbrt (+ f n)) (cbrt (+ f n))))) (/ (cbrt -1) (/ (cbrt (- f n)) (cbrt (+ f n)))) (/ (* (cbrt -1) (cbrt -1)) (/ (* (cbrt (- f n)) (cbrt (- f n))) (sqrt (+ f n)))) (/ (cbrt -1) (/ (cbrt (- f n)) (sqrt (+ f n)))) (/ (* (cbrt -1) (cbrt -1)) (/ (* (cbrt (- f n)) (cbrt (- f n))) 1)) (/ (cbrt -1) (/ (cbrt (- f n)) (+ f n))) (/ (* (cbrt -1) (cbrt -1)) (/ (* (cbrt (- f n)) (cbrt (- f n))) 1)) (/ (cbrt -1) (/ (cbrt (- f n)) (+ f n))) (/ (* (cbrt -1) (cbrt -1)) (/ (sqrt (- f n)) (* (cbrt (+ f n)) (cbrt (+ f n))))) (/ (cbrt -1) (/ (sqrt (- f n)) (cbrt (+ f n)))) (/ (* (cbrt -1) (cbrt -1)) (/ (sqrt (- f n)) (sqrt (+ f n)))) (/ (cbrt -1) (/ (sqrt (- f n)) (sqrt (+ f n)))) (/ (* (cbrt -1) (cbrt -1)) (/ (sqrt (- f n)) 1)) (/ (cbrt -1) (/ (sqrt (- f n)) (+ f n))) (/ (* (cbrt -1) (cbrt -1)) (/ (sqrt (- f n)) 1)) (/ (cbrt -1) (/ (sqrt (- f n)) (+ f n))) (/ (* (cbrt -1) (cbrt -1)) (/ 1 (* (cbrt (+ f n)) (cbrt (+ f n))))) (/ (cbrt -1) (/ (- f n) (cbrt (+ f n)))) (/ (* (cbrt -1) (cbrt -1)) (/ 1 (sqrt (+ f n)))) (/ (cbrt -1) (/ (- f n) (sqrt (+ f n)))) (/ (* (cbrt -1) (cbrt -1)) (/ 1 1)) (/ (cbrt -1) (/ (- f n) (+ f n))) (/ (* (cbrt -1) (cbrt -1)) (/ 1 1)) (/ (cbrt -1) (/ (- f n) (+ f n))) (/ (* (cbrt -1) (cbrt -1)) (/ (+ (sqrt f) (sqrt n)) (* (cbrt (+ f n)) (cbrt (+ f n))))) (/ (cbrt -1) (/ (- (sqrt f) (sqrt n)) (cbrt (+ f n)))) (/ (* (cbrt -1) (cbrt -1)) (/ (+ (sqrt f) (sqrt n)) (sqrt (+ f n)))) (/ (cbrt -1) (/ (- (sqrt f) (sqrt n)) (sqrt (+ f n)))) (/ (* (cbrt -1) (cbrt -1)) (/ (+ (sqrt f) (sqrt n)) 1)) (/ (cbrt -1) (/ (- (sqrt f) (sqrt n)) (+ f n))) (/ (* (cbrt -1) (cbrt -1)) (/ (+ (sqrt f) (sqrt n)) 1)) (/ (cbrt -1) (/ (- (sqrt f) (sqrt n)) (+ f n))) (/ (* (cbrt -1) (cbrt -1)) (/ 1 (* (cbrt (+ f n)) (cbrt (+ f n))))) (/ (cbrt -1) (/ (- f n) (cbrt (+ f n)))) (/ (* (cbrt -1) (cbrt -1)) (/ 1 (sqrt (+ f n)))) (/ (cbrt -1) (/ (- f n) (sqrt (+ f n)))) (/ (* (cbrt -1) (cbrt -1)) (/ 1 1)) (/ (cbrt -1) (/ (- f n) (+ f n))) (/ (* (cbrt -1) (cbrt -1)) (/ 1 1)) (/ (cbrt -1) (/ (- f n) (+ f n))) (/ (* (cbrt -1) (cbrt -1)) 1) (/ (cbrt -1) (/ (- f n) (+ f n))) (/ (* (cbrt -1) (cbrt -1)) (- f n)) (/ (cbrt -1) (/ 1 (+ f n))) (/ (* (cbrt -1) (cbrt -1)) (/ (- f n) (+ (pow f 3) (pow n 3)))) (/ (cbrt -1) (+ (* f f) (- (* n n) (* f n)))) (/ (* (cbrt -1) (cbrt -1)) (/ (- f n) (- (* f f) (* n n)))) (/ (cbrt -1) (- f n)) (/ (sqrt -1) (* (cbrt (/ (- f n) (+ f n))) (cbrt (/ (- f n) (+ f n))))) (/ (sqrt -1) (cbrt (/ (- f n) (+ f n)))) (/ (sqrt -1) (sqrt (/ (- f n) (+ f n)))) (/ (sqrt -1) (sqrt (/ (- f n) (+ f n)))) (/ (sqrt -1) (/ (* (cbrt (- f n)) (cbrt (- f n))) (* (cbrt (+ f n)) (cbrt (+ f n))))) (/ (sqrt -1) (/ (cbrt (- f n)) (cbrt (+ f n)))) (/ (sqrt -1) (/ (* (cbrt (- f n)) (cbrt (- f n))) (sqrt (+ f n)))) (/ (sqrt -1) (/ (cbrt (- f n)) (sqrt (+ f n)))) (/ (sqrt -1) (/ (* (cbrt (- f n)) (cbrt (- f n))) 1)) (/ (sqrt -1) (/ (cbrt (- f n)) (+ f n))) (/ (sqrt -1) (/ (* (cbrt (- f n)) (cbrt (- f n))) 1)) (/ (sqrt -1) (/ (cbrt (- f n)) (+ f n))) (/ (sqrt -1) (/ (sqrt (- f n)) (* (cbrt (+ f n)) (cbrt (+ f n))))) (/ (sqrt -1) (/ (sqrt (- f n)) (cbrt (+ f n)))) (/ (sqrt -1) (/ (sqrt (- f n)) (sqrt (+ f n)))) (/ (sqrt -1) (/ (sqrt (- f n)) (sqrt (+ f n)))) (/ (sqrt -1) (/ (sqrt (- f n)) 1)) (/ (sqrt -1) (/ (sqrt (- f n)) (+ f n))) (/ (sqrt -1) (/ (sqrt (- f n)) 1)) (/ (sqrt -1) (/ (sqrt (- f n)) (+ f n))) (/ (sqrt -1) (/ 1 (* (cbrt (+ f n)) (cbrt (+ f n))))) (/ (sqrt -1) (/ (- f n) (cbrt (+ f n)))) (/ (sqrt -1) (/ 1 (sqrt (+ f n)))) (/ (sqrt -1) (/ (- f n) (sqrt (+ f n)))) (/ (sqrt -1) (/ 1 1)) (/ (sqrt -1) (/ (- f n) (+ f n))) (/ (sqrt -1) (/ 1 1)) (/ (sqrt -1) (/ (- f n) (+ f n))) (/ (sqrt -1) (/ (+ (sqrt f) (sqrt n)) (* (cbrt (+ f n)) (cbrt (+ f n))))) (/ (sqrt -1) (/ (- (sqrt f) (sqrt n)) (cbrt (+ f n)))) (/ (sqrt -1) (/ (+ (sqrt f) (sqrt n)) (sqrt (+ f n)))) (/ (sqrt -1) (/ (- (sqrt f) (sqrt n)) (sqrt (+ f n)))) (/ (sqrt -1) (/ (+ (sqrt f) (sqrt n)) 1)) (/ (sqrt -1) (/ (- (sqrt f) (sqrt n)) (+ f n))) (/ (sqrt -1) (/ (+ (sqrt f) (sqrt n)) 1)) (/ (sqrt -1) (/ (- (sqrt f) (sqrt n)) (+ f n))) (/ (sqrt -1) (/ 1 (* (cbrt (+ f n)) (cbrt (+ f n))))) (/ (sqrt -1) (/ (- f n) (cbrt (+ f n)))) (/ (sqrt -1) (/ 1 (sqrt (+ f n)))) (/ 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(cbrt (+ f n))))) (/ -1 (/ (sqrt (- f n)) (cbrt (+ f n)))) (/ 1 (/ (sqrt (- f n)) (sqrt (+ f n)))) (/ -1 (/ (sqrt (- f n)) (sqrt (+ f n)))) (/ 1 (/ (sqrt (- f n)) 1)) (/ -1 (/ (sqrt (- f n)) (+ f n))) (/ 1 (/ (sqrt (- f n)) 1)) (/ -1 (/ (sqrt (- f n)) (+ f n))) (/ 1 (/ 1 (* (cbrt (+ f n)) (cbrt (+ f n))))) (/ -1 (/ (- f n) (cbrt (+ f n)))) (/ 1 (/ 1 (sqrt (+ f n)))) (/ -1 (/ (- f n) (sqrt (+ f n)))) (/ 1 (/ 1 1)) (/ -1 (/ (- f n) (+ f n))) (/ 1 (/ 1 1)) (/ -1 (/ (- f n) (+ f n))) (/ 1 (/ (+ (sqrt f) (sqrt n)) (* (cbrt (+ f n)) (cbrt (+ f n))))) (/ -1 (/ (- (sqrt f) (sqrt n)) (cbrt (+ f n)))) (/ 1 (/ (+ (sqrt f) (sqrt n)) (sqrt (+ f n)))) (/ -1 (/ (- (sqrt f) (sqrt n)) (sqrt (+ f n)))) (/ 1 (/ (+ (sqrt f) (sqrt n)) 1)) (/ -1 (/ (- (sqrt f) (sqrt n)) (+ f n))) (/ 1 (/ (+ (sqrt f) (sqrt n)) 1)) (/ -1 (/ (- (sqrt f) (sqrt n)) (+ f n))) (/ 1 (/ 1 (* (cbrt (+ f n)) (cbrt (+ f n))))) (/ -1 (/ (- f n) (cbrt (+ f n)))) (/ 1 (/ 1 (sqrt (+ f n)))) (/ -1 (/ (- f n) (sqrt (+ f n)))) (/ 1 (/ 1 1)) (/ -1 (/ (- f n) (+ f n))) (/ 1 (/ 1 1)) (/ -1 (/ (- f n) (+ f n))) (/ 1 1) (/ -1 (/ (- f n) (+ f n))) (/ 1 (- f n)) (/ -1 (/ 1 (+ f n))) (/ 1 (/ (- f n) (+ (pow f 3) (pow n 3)))) (/ -1 (+ (* f f) (- (* n n) (* f n)))) (/ 1 (/ (- f n) (- (* f f) (* n n)))) (/ -1 (- f n)) (/ 1 (/ (- f n) (+ f n))) (/ (/ (- f n) (+ f n)) -1) (/ -1 (* (cbrt (/ (- f n) (+ f n))) (cbrt (/ (- f n) (+ f n))))) (/ -1 (sqrt (/ (- f n) (+ f n)))) (/ -1 (/ (* (cbrt (- f n)) (cbrt (- f n))) (* (cbrt (+ f n)) (cbrt (+ f n))))) (/ -1 (/ (* (cbrt (- f n)) (cbrt (- f n))) (sqrt (+ f n)))) (/ -1 (/ (* (cbrt (- f n)) (cbrt (- f n))) 1)) (/ -1 (/ (* (cbrt (- f n)) (cbrt (- f n))) 1)) (/ -1 (/ (sqrt (- f n)) (* (cbrt (+ f n)) (cbrt (+ f n))))) (/ -1 (/ (sqrt (- f n)) (sqrt (+ f n)))) (/ -1 (/ (sqrt (- f n)) 1)) (/ -1 (/ (sqrt (- f n)) 1)) (/ -1 (/ 1 (* (cbrt (+ f n)) (cbrt (+ f n))))) (/ -1 (/ 1 (sqrt (+ f n)))) (/ -1 (/ 1 1)) (/ -1 (/ 1 1)) (/ -1 (/ (+ (sqrt f) (sqrt n)) (* (cbrt (+ f n)) (cbrt (+ f n))))) (/ -1 (/ (+ (sqrt f) (sqrt n)) (sqrt (+ f n)))) (/ -1 (/ (+ (sqrt f) (sqrt n)) 1)) (/ -1 (/ (+ (sqrt f) (sqrt n)) 1)) (/ -1 (/ 1 (* (cbrt (+ f n)) (cbrt (+ f n))))) (/ -1 (/ 1 (sqrt (+ f n)))) (/ -1 (/ 1 1)) (/ -1 (/ 1 1)) (/ -1 1) (/ -1 (- f n)) (/ -1 (/ (- f n) (+ (pow f 3) (pow n 3)))) (/ -1 (/ (- f n) (- (* f f) (* n n)))) (/ (/ (- f n) (+ f n)) (cbrt -1)) (/ (/ (- f n) (+ f n)) (sqrt -1)) (/ (/ (- f n) (+ f n)) -1) (/ -1 (- f n)) (real->posit16 (/ -1 (/ (- f n) (+ f n)))) -1 1 1 1 -1 -1 2.057 * * [simplify]: iteration 0: 221 enodes 2.151 * * [simplify]: iteration 1: 602 enodes 2.405 * * [simplify]: iteration 2: 3088 enodes 3.456 * * [simplify]: iteration complete: 5002 enodes 3.457 * * [simplify]: Extracting #0: cost 167 inf + 0 3.466 * * [simplify]: Extracting #1: cost 1146 inf + 43 3.477 * * [simplify]: Extracting #2: cost 1453 inf + 6032 3.509 * * [simplify]: Extracting #3: cost 935 inf + 105574 3.596 * * [simplify]: Extracting #4: cost 202 inf + 259588 3.675 * * [simplify]: Extracting #5: cost 58 inf + 299818 3.777 * * [simplify]: Extracting #6: cost 24 inf + 309965 3.841 * * [simplify]: Extracting #7: cost 7 inf + 311990 3.926 * * [simplify]: Extracting #8: cost 0 inf + 313761 4.007 * [simplify]: Simplified to: (log (/ (- f n) (+ n f))) (log (/ (- f n) (+ n f))) (exp (/ (- f n) (+ n f))) (* (/ (- f n) (+ n f)) (* (/ (- f n) (+ n f)) (/ (- f n) (+ n f)))) (* (cbrt (/ (- f n) (+ n f))) (cbrt (/ (- f n) (+ n f)))) (cbrt (/ (- f n) (+ n f))) (* (/ (- f n) (+ n f)) (* (/ (- f n) (+ n f)) (/ (- f n) (+ n f)))) (sqrt (/ (- f n) (+ n f))) (sqrt (/ (- f n) (+ n f))) (+ (- f) n) (- (+ n f)) (/ f (+ n f)) (/ n (+ n f)) (* (/ (cbrt (- f n)) (cbrt (+ n f))) (/ (cbrt (- f n)) (cbrt (+ n f)))) (/ (cbrt (- f n)) (cbrt (+ n f))) (/ (* (cbrt (- f n)) (cbrt (- f n))) (sqrt (+ n f))) (/ (cbrt (- f n)) (sqrt (+ n f))) (* (cbrt (- f n)) (cbrt (- f n))) (/ (cbrt (- f n)) (+ n f)) (* (cbrt (- f n)) (cbrt (- f n))) (/ (cbrt (- f n)) (+ n f)) (/ (/ (sqrt (- f n)) (cbrt (+ n f))) (cbrt (+ n f))) (/ (sqrt (- f n)) (cbrt (+ n f))) (/ (sqrt (- f n)) (sqrt (+ n f))) (/ (sqrt (- f n)) (sqrt (+ n f))) (sqrt (- f n)) (/ (sqrt (- f n)) (+ n f)) (sqrt (- f n)) (/ (sqrt (- f n)) (+ n f)) (/ 1 (* (cbrt (+ n f)) (cbrt (+ n f)))) (/ (- f n) (cbrt (+ n f))) (/ 1 (sqrt (+ n f))) (/ (- f n) (sqrt (+ n f))) 1 (/ (- f n) (+ n f)) 1 (/ (- f n) (+ n f)) (/ (+ (sqrt n) (sqrt f)) (* (cbrt (+ n f)) (cbrt (+ n f)))) (/ (- (sqrt f) (sqrt n)) (cbrt (+ n f))) (/ (+ (sqrt n) (sqrt f)) (sqrt (+ n f))) (/ (- (sqrt f) (sqrt n)) (sqrt (+ n f))) (+ (sqrt n) (sqrt f)) (/ (- (sqrt f) (sqrt n)) (+ n f)) (+ (sqrt n) (sqrt f)) (/ (- (sqrt f) (sqrt n)) (+ n f)) (/ 1 (* (cbrt (+ n f)) (cbrt (+ n f)))) (/ (- f n) (cbrt (+ n f))) (/ 1 (sqrt (+ n f))) (/ (- f n) (sqrt (+ n f))) 1 (/ (- f n) (+ n f)) 1 (/ (- f n) (+ n f)) (/ 1 (+ n f)) (/ (+ n f) (- f n)) (/ (- f n) (* (cbrt (+ n f)) (cbrt (+ n f)))) (/ (- f n) (sqrt (+ n f))) (- f n) (- f n) (/ (+ n f) (cbrt (- f n))) (/ (+ n f) (sqrt (- f n))) (/ (+ n f) (- f n)) (/ (+ n f) (- (sqrt f) (sqrt n))) (/ (+ n f) (- f n)) (/ (- f n) (+ (* n (* n n)) (* (* f f) f))) (/ (- f n) (* (+ f n) (- f n))) (* (+ (* f f) (* (+ n f) n)) (+ n f)) (* (+ n f) (+ n f)) (real->posit16 (/ (- f n) (+ n f))) (log (/ (- (+ n f)) (- f n))) (log (/ (- (+ n f)) (- f n))) (log (/ (- (+ n f)) (- f n))) (exp (/ (- (+ n f)) (- f n))) (* (* (/ (- (+ n f)) (- f n)) (/ (- (+ n f)) (- f n))) (/ (- (+ n f)) (- f n))) (* (* (/ (- (+ n f)) (- f n)) (/ (- (+ n f)) (- f n))) (/ (- (+ n f)) (- f n))) (* (cbrt (/ (- (+ n f)) (- f n))) (cbrt (/ (- (+ n f)) (- f n)))) (cbrt (/ (- (+ n f)) (- f n))) (* (* (/ (- (+ n f)) (- f n)) (/ (- (+ n f)) (- f n))) (/ (- (+ n f)) (- f n))) (sqrt (/ (- (+ n f)) (- f n))) (sqrt (/ (- (+ n f)) (- f n))) 1 (- (/ (- f n) (+ n f))) (* (/ (cbrt -1) (cbrt (/ (- f n) (+ n f)))) (/ (cbrt -1) (cbrt (/ (- f n) (+ n f))))) (/ (cbrt -1) (cbrt (/ (- f n) (+ n f)))) (/ (cbrt -1) (/ (sqrt (/ (- f n) (+ n f))) (cbrt -1))) (/ (cbrt -1) (sqrt (/ (- f n) (+ n f)))) (* (* (/ (cbrt -1) (cbrt (- f n))) (cbrt (+ n f))) (* (/ (cbrt -1) (cbrt (- f n))) (cbrt (+ n f)))) (* (/ (cbrt -1) (cbrt (- f n))) (cbrt (+ n f))) (* (sqrt (+ n f)) (* (/ (cbrt -1) (cbrt (- f n))) (/ (cbrt -1) (cbrt (- f n))))) (/ (cbrt -1) (/ (cbrt (- f n)) (sqrt (+ n f)))) (* (/ (cbrt -1) (cbrt (- f n))) (/ (cbrt -1) (cbrt (- f n)))) (/ (* (cbrt -1) (+ n f)) (cbrt (- f n))) (* (/ (cbrt -1) (cbrt (- f n))) (/ (cbrt -1) (cbrt (- f n)))) (/ (* (cbrt -1) (+ n f)) (cbrt (- f n))) (/ (* (* (cbrt (+ n f)) (cbrt -1)) (* (cbrt (+ n f)) (cbrt -1))) (sqrt (- f n))) (* (cbrt (+ n f)) (/ (cbrt -1) (sqrt (- f n)))) (/ (* (cbrt -1) (cbrt -1)) (/ (sqrt (- f n)) (sqrt (+ n f)))) (* (/ (cbrt -1) (sqrt (- f n))) (sqrt (+ n f))) (/ (cbrt -1) (/ (sqrt (- f n)) (cbrt -1))) (/ (* (cbrt -1) (+ n f)) (sqrt (- f n))) (/ (cbrt -1) (/ (sqrt (- f n)) (cbrt -1))) (/ (* (cbrt -1) (+ n f)) (sqrt (- f n))) (* (* (cbrt (+ n f)) (cbrt -1)) (* (cbrt (+ n f)) (cbrt -1))) (/ (* (cbrt -1) (cbrt (+ n f))) (- f n)) (* (* (cbrt -1) (cbrt -1)) (sqrt (+ n f))) (* (/ (cbrt -1) (- f n)) (sqrt (+ n f))) (* (cbrt -1) (cbrt -1)) (* (/ (cbrt -1) (- f n)) (+ n f)) (* (cbrt -1) (cbrt -1)) (* (/ (cbrt -1) (- f n)) (+ n f)) (/ (* (* (cbrt (+ n f)) (cbrt -1)) (* (cbrt (+ n f)) (cbrt -1))) (+ (sqrt n) (sqrt f))) (* (cbrt (+ n f)) (/ (cbrt -1) (- (sqrt f) (sqrt n)))) (* (/ (* (cbrt -1) (cbrt -1)) (+ (sqrt n) (sqrt f))) (sqrt (+ n f))) (/ (* (cbrt -1) (sqrt (+ n f))) (- (sqrt f) (sqrt n))) (/ (* (cbrt -1) (cbrt -1)) (+ (sqrt n) (sqrt f))) (* (/ (cbrt -1) (- (sqrt f) (sqrt n))) (+ n f)) (/ (* (cbrt -1) (cbrt -1)) (+ (sqrt n) (sqrt f))) (* (/ (cbrt -1) (- (sqrt f) (sqrt n))) (+ n f)) (* (* (cbrt (+ n f)) (cbrt -1)) (* (cbrt (+ n f)) (cbrt -1))) (/ (* (cbrt -1) (cbrt (+ n f))) (- f n)) (* (* (cbrt -1) (cbrt -1)) (sqrt (+ n f))) (* (/ (cbrt -1) (- f n)) (sqrt (+ n f))) (* (cbrt -1) (cbrt -1)) (* (/ (cbrt -1) (- f n)) (+ n f)) (* (cbrt -1) (cbrt -1)) (* (/ (cbrt -1) (- f n)) (+ n f)) (* (cbrt -1) (cbrt -1)) (* (/ (cbrt -1) (- f n)) (+ n f)) (/ (cbrt -1) (/ (- f n) (cbrt -1))) (* (+ n f) (cbrt -1)) (* (+ (* n (* n n)) (* (* f f) f)) (/ (cbrt -1) (/ (- f n) (cbrt -1)))) (/ (cbrt -1) (+ (* f f) (* n (- n f)))) (* (* (+ f n) (- f n)) (/ (cbrt -1) (/ (- f n) (cbrt -1)))) (/ (cbrt -1) (- f n)) (/ (sqrt -1) (* (cbrt (/ (- f n) (+ n f))) (cbrt (/ (- f n) (+ n f))))) (/ (sqrt -1) (cbrt (/ (- f n) (+ n f)))) (/ (sqrt -1) (sqrt (/ (- f n) (+ n f)))) (/ (sqrt -1) (sqrt (/ (- f n) (+ n f)))) (/ (sqrt -1) (* (/ (cbrt (- f n)) (cbrt (+ n f))) (/ (cbrt (- f n)) (cbrt (+ n f))))) (/ (* (sqrt -1) (cbrt (+ n f))) (cbrt (- f n))) (/ (* (sqrt -1) (sqrt (+ n f))) (* (cbrt (- f n)) (cbrt (- f n)))) (* (/ (sqrt -1) (cbrt (- f n))) (sqrt (+ n f))) (/ (/ (sqrt -1) (cbrt (- f n))) (cbrt (- f n))) (* (/ (sqrt -1) (cbrt (- f n))) (+ n f)) (/ (/ (sqrt -1) (cbrt (- f n))) (cbrt (- f n))) (* (/ (sqrt -1) (cbrt (- f n))) (+ n f)) (* (/ (sqrt -1) (sqrt (- f n))) (* (cbrt (+ n f)) (cbrt (+ n f)))) (* (/ (sqrt -1) (sqrt (- f n))) (cbrt (+ n f))) (* (/ (sqrt -1) (sqrt (- f n))) (sqrt (+ n f))) (* (/ (sqrt -1) (sqrt (- f n))) (sqrt (+ n f))) (/ (sqrt -1) (sqrt (- f n))) (/ (sqrt -1) (/ (sqrt (- f n)) (+ n f))) (/ (sqrt -1) (sqrt (- f n))) (/ (sqrt -1) (/ (sqrt (- f n)) (+ n f))) (* (* (sqrt -1) (cbrt (+ n f))) (cbrt (+ n f))) (/ (sqrt -1) (/ (- f n) (cbrt (+ n f)))) (* (sqrt -1) (sqrt (+ n f))) (* (/ (sqrt -1) (- f n)) (sqrt (+ n f))) (sqrt -1) (* (/ (sqrt -1) (- f n)) (+ n f)) (sqrt -1) (* (/ (sqrt -1) (- f n)) (+ n f)) (* (* (/ (sqrt -1) (+ (sqrt n) (sqrt f))) (cbrt (+ n f))) (cbrt (+ n f))) (* (/ (sqrt -1) (- (sqrt f) (sqrt n))) (cbrt (+ n f))) (* (/ (sqrt -1) (+ (sqrt n) (sqrt f))) (sqrt (+ n f))) (* (sqrt (+ n f)) (/ (sqrt -1) (- (sqrt f) (sqrt n)))) (/ (sqrt -1) (+ (sqrt n) (sqrt f))) (* (/ (sqrt -1) (- (sqrt f) (sqrt n))) (+ n f)) (/ (sqrt -1) (+ (sqrt n) (sqrt f))) (* (/ (sqrt -1) (- (sqrt f) (sqrt n))) (+ n f)) (* (* (sqrt -1) (cbrt (+ n f))) (cbrt (+ n f))) (/ (sqrt -1) (/ (- f n) (cbrt (+ n f)))) (* (sqrt -1) (sqrt (+ n 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f)) (sqrt (- f n))) (/ (- (sqrt (+ n f))) (sqrt (- f n))) (/ 1 (sqrt (- f n))) (/ (- (+ n f)) (sqrt (- f n))) (/ 1 (sqrt (- f n))) (/ (- (+ n f)) (sqrt (- f n))) (* (cbrt (+ n f)) (cbrt (+ n f))) (/ (- (cbrt (+ n f))) (- f n)) (sqrt (+ n f)) (/ (- (sqrt (+ n f))) (- f n)) 1 (/ (- (+ n f)) (- f n)) 1 (/ (- (+ n f)) (- f n)) (/ (* (cbrt (+ n f)) (cbrt (+ n f))) (+ (sqrt n) (sqrt f))) (/ (- (cbrt (+ n f))) (- (sqrt f) (sqrt n))) (/ (sqrt (+ n f)) (+ (sqrt n) (sqrt f))) (/ (- (sqrt (+ n f))) (- (sqrt f) (sqrt n))) (/ 1 (+ (sqrt n) (sqrt f))) (/ (- (+ n f)) (- (sqrt f) (sqrt n))) (/ 1 (+ (sqrt n) (sqrt f))) (/ (- (+ n f)) (- (sqrt f) (sqrt n))) (* (cbrt (+ n f)) (cbrt (+ n f))) (/ (- (cbrt (+ n f))) (- f n)) (sqrt (+ n f)) (/ (- (sqrt (+ n f))) (- f n)) 1 (/ (- (+ n f)) (- f n)) 1 (/ (- (+ n f)) (- f n)) 1 (/ (- (+ n f)) (- f n)) (/ 1 (- f n)) (- (+ n f)) (/ (+ (* n (* n n)) (* (* f f) f)) (- f n)) (/ -1 (+ (* f f) (* n (- n f)))) (/ (* (+ f n) (- f n)) (- f n)) (/ -1 (- f n)) (/ (+ n f) (- f n)) (/ (- f n) (- (+ n f))) (/ -1 (* (cbrt (/ (- f n) (+ n f))) (cbrt (/ (- f n) (+ n f))))) (/ -1 (sqrt (/ (- f n) (+ n f)))) (/ -1 (* (/ (cbrt (- f n)) (cbrt (+ n f))) (/ (cbrt (- f n)) (cbrt (+ n f))))) (/ (- (sqrt (+ n f))) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (/ -1 (cbrt (- f n))) (cbrt (- f n))) (/ (/ -1 (cbrt (- f n))) (cbrt (- f n))) (/ (* (cbrt (+ n f)) (- (cbrt (+ n f)))) (sqrt (- f n))) (/ (- (sqrt (+ n f))) (sqrt (- f n))) (/ -1 (sqrt (- f n))) (/ -1 (sqrt (- f n))) (* (cbrt (+ n f)) (- (cbrt (+ n f)))) (- (sqrt (+ n f))) -1 -1 (/ (* (cbrt (+ n f)) (- (cbrt (+ n f)))) (+ (sqrt n) (sqrt f))) (/ (- (sqrt (+ n f))) (+ (sqrt n) (sqrt f))) (/ -1 (+ (sqrt n) (sqrt f))) (/ -1 (+ (sqrt n) (sqrt f))) (* (cbrt (+ n f)) (- (cbrt (+ n f)))) (- (sqrt (+ n f))) -1 -1 -1 (/ -1 (- f n)) (/ (- (+ (* n (* n n)) (* (* f f) f))) (- f n)) (/ (- (* (+ f n) (- f n))) (- f n)) (/ (- f n) (* (+ n f) (cbrt -1))) (/ (- f n) (* (sqrt -1) (+ n f))) (/ (- f n) (- (+ n f))) (/ -1 (- f n)) (real->posit16 (/ (- (+ n f)) (- f n))) -1 1 1 1 -1 -1 4.019 * * * [progress]: adding candidates to table 4.601 * * [progress]: iteration 3 / 4 4.601 * * * [progress]: picking best candidate 4.615 * * * * [pick]: Picked # 4.615 * * * [progress]: localizing error 4.644 * * * [progress]: generating rewritten candidates 4.644 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 4.694 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1) 4.714 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 2) 4.730 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 4.789 * * * [progress]: generating series expansions 4.789 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 4.789 * [backup-simplify]: Simplify (- (/ f (+ f n)) (/ n (+ f n))) into (- (/ f (+ n f)) (/ n (+ n f))) 4.789 * [approximate]: Taking taylor expansion of (- (/ f (+ n f)) (/ n (+ n f))) in (f n) around 0 4.789 * [taylor]: Taking taylor expansion of (- (/ f (+ n f)) (/ n (+ n f))) in n 4.789 * [taylor]: Taking taylor expansion of (/ f (+ n f)) in n 4.789 * [taylor]: Taking taylor expansion of f in n 4.789 * [backup-simplify]: Simplify f into f 4.789 * [taylor]: Taking taylor expansion of (+ n f) in n 4.789 * [taylor]: Taking taylor expansion of n in n 4.789 * [backup-simplify]: Simplify 0 into 0 4.789 * [backup-simplify]: Simplify 1 into 1 4.789 * [taylor]: Taking taylor expansion of f in n 4.789 * [backup-simplify]: Simplify f into f 4.789 * [backup-simplify]: Simplify (+ 0 f) into f 4.789 * [backup-simplify]: Simplify (/ f f) into 1 4.789 * [taylor]: Taking taylor expansion of (/ n (+ n f)) in n 4.789 * [taylor]: Taking taylor expansion of n in n 4.790 * [backup-simplify]: Simplify 0 into 0 4.790 * [backup-simplify]: Simplify 1 into 1 4.790 * [taylor]: Taking taylor expansion of (+ n f) in n 4.790 * [taylor]: Taking taylor expansion of n in n 4.790 * [backup-simplify]: Simplify 0 into 0 4.790 * [backup-simplify]: Simplify 1 into 1 4.790 * [taylor]: Taking taylor expansion of f in n 4.790 * [backup-simplify]: Simplify f into f 4.790 * [backup-simplify]: Simplify (+ 0 f) into f 4.790 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 4.790 * [taylor]: Taking taylor expansion of (- (/ f (+ n f)) (/ n (+ n f))) in f 4.790 * [taylor]: Taking taylor expansion of (/ f (+ n f)) in f 4.790 * [taylor]: Taking taylor expansion of f in f 4.790 * [backup-simplify]: Simplify 0 into 0 4.790 * [backup-simplify]: Simplify 1 into 1 4.790 * [taylor]: Taking taylor expansion of (+ n f) in f 4.790 * [taylor]: Taking taylor expansion of n in f 4.790 * [backup-simplify]: Simplify n into n 4.790 * [taylor]: Taking taylor expansion of f in f 4.790 * [backup-simplify]: Simplify 0 into 0 4.790 * [backup-simplify]: Simplify 1 into 1 4.790 * [backup-simplify]: Simplify (+ n 0) into n 4.790 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 4.790 * [taylor]: Taking taylor expansion of (/ n (+ n f)) in f 4.790 * [taylor]: Taking taylor expansion of n in f 4.790 * [backup-simplify]: Simplify n into n 4.790 * [taylor]: Taking taylor expansion of (+ n f) in f 4.790 * [taylor]: Taking taylor expansion of n in f 4.790 * [backup-simplify]: Simplify n into n 4.790 * [taylor]: Taking taylor expansion of f in f 4.790 * [backup-simplify]: Simplify 0 into 0 4.790 * [backup-simplify]: Simplify 1 into 1 4.790 * [backup-simplify]: Simplify (+ n 0) into n 4.790 * [backup-simplify]: Simplify (/ n n) into 1 4.790 * [taylor]: Taking taylor expansion of (- (/ f (+ n f)) (/ n (+ n f))) in f 4.790 * [taylor]: Taking taylor expansion of (/ f (+ n f)) in f 4.790 * [taylor]: Taking taylor expansion of f in f 4.790 * [backup-simplify]: Simplify 0 into 0 4.790 * [backup-simplify]: Simplify 1 into 1 4.790 * [taylor]: Taking taylor expansion of (+ n f) in f 4.790 * [taylor]: Taking taylor expansion of n in f 4.790 * [backup-simplify]: Simplify n into n 4.790 * [taylor]: Taking taylor expansion of f in f 4.790 * [backup-simplify]: Simplify 0 into 0 4.790 * [backup-simplify]: Simplify 1 into 1 4.790 * [backup-simplify]: Simplify (+ n 0) into n 4.790 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 4.790 * [taylor]: Taking taylor expansion of (/ n (+ n f)) in f 4.790 * [taylor]: Taking taylor expansion of n in f 4.790 * [backup-simplify]: Simplify n into n 4.790 * [taylor]: Taking taylor expansion of (+ n f) in f 4.790 * [taylor]: Taking taylor expansion of n in f 4.790 * [backup-simplify]: Simplify n into n 4.790 * [taylor]: Taking taylor expansion of f in f 4.790 * [backup-simplify]: Simplify 0 into 0 4.790 * [backup-simplify]: Simplify 1 into 1 4.790 * [backup-simplify]: Simplify (+ n 0) into n 4.790 * [backup-simplify]: Simplify (/ n n) into 1 4.791 * [backup-simplify]: Simplify (- 1) into -1 4.791 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.791 * [taylor]: Taking taylor expansion of -1 in n 4.791 * [backup-simplify]: Simplify -1 into -1 4.791 * [backup-simplify]: Simplify -1 into -1 4.792 * [backup-simplify]: Simplify (+ 0 1) into 1 4.792 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* 1 (/ 1 n)))) into (- (/ 1 n)) 4.792 * [backup-simplify]: Simplify (- (- (/ 1 n))) into (/ 1 n) 4.792 * [backup-simplify]: Simplify (+ (/ 1 n) (/ 1 n)) into (* 2 (/ 1 n)) 4.792 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 4.792 * [taylor]: Taking taylor expansion of 2 in n 4.792 * [backup-simplify]: Simplify 2 into 2 4.792 * [taylor]: Taking taylor expansion of (/ 1 n) in n 4.792 * [taylor]: Taking taylor expansion of n in n 4.792 * [backup-simplify]: Simplify 0 into 0 4.792 * [backup-simplify]: Simplify 1 into 1 4.792 * [backup-simplify]: Simplify (/ 1 1) into 1 4.793 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.793 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 4.793 * [backup-simplify]: Simplify 0 into 0 4.793 * [backup-simplify]: Simplify 0 into 0 4.793 * [backup-simplify]: Simplify (+ 0 1) into 1 4.794 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* (/ 1 n) (/ 1 n)))) into (- (/ 1 (pow n 2))) 4.794 * [backup-simplify]: Simplify (+ 0 0) into 0 4.794 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* 1 (/ 0 n)) (* (- (/ 1 n)) (/ 1 n)))) into (/ 1 (pow n 2)) 4.794 * [backup-simplify]: Simplify (- (/ 1 (pow n 2))) into (- (/ 1 (pow n 2))) 4.794 * [backup-simplify]: Simplify (+ (- (/ 1 (pow n 2))) (- (/ 1 (pow n 2)))) into (- (* 2 (/ 1 (pow n 2)))) 4.794 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 4.794 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 4.794 * [taylor]: Taking taylor expansion of 2 in n 4.794 * [backup-simplify]: Simplify 2 into 2 4.794 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 4.794 * [taylor]: Taking taylor expansion of (pow n 2) in n 4.794 * [taylor]: Taking taylor expansion of n in n 4.794 * [backup-simplify]: Simplify 0 into 0 4.794 * [backup-simplify]: Simplify 1 into 1 4.795 * [backup-simplify]: Simplify (* 1 1) into 1 4.795 * [backup-simplify]: Simplify (/ 1 1) into 1 4.795 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.796 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.796 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.797 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.797 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 4.797 * [backup-simplify]: Simplify (- 0) into 0 4.797 * [backup-simplify]: Simplify 0 into 0 4.798 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.799 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 4.799 * [backup-simplify]: Simplify 0 into 0 4.799 * [backup-simplify]: Simplify 0 into 0 4.799 * [backup-simplify]: Simplify (+ 0 0) into 0 4.799 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* (/ 1 n) (/ 0 n)) (* (- (/ 1 (pow n 2))) (/ 1 n)))) into (/ 1 (pow n 3)) 4.799 * [backup-simplify]: Simplify (+ 0 0) into 0 4.800 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* 1 (/ 0 n)) (* (- (/ 1 n)) (/ 0 n)) (* (/ 1 (pow n 2)) (/ 1 n)))) into (- (/ 1 (pow n 3))) 4.800 * [backup-simplify]: Simplify (- (- (/ 1 (pow n 3)))) into (/ 1 (pow n 3)) 4.800 * [backup-simplify]: Simplify (+ (/ 1 (pow n 3)) (/ 1 (pow n 3))) into (* 2 (/ 1 (pow n 3))) 4.800 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 4.800 * [taylor]: Taking taylor expansion of 2 in n 4.800 * [backup-simplify]: Simplify 2 into 2 4.800 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 4.800 * [taylor]: Taking taylor expansion of (pow n 3) in n 4.800 * [taylor]: Taking taylor expansion of n in n 4.800 * [backup-simplify]: Simplify 0 into 0 4.800 * [backup-simplify]: Simplify 1 into 1 4.800 * [backup-simplify]: Simplify (* 1 1) into 1 4.800 * [backup-simplify]: Simplify (* 1 1) into 1 4.801 * [backup-simplify]: Simplify (/ 1 1) into 1 4.801 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.802 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.802 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.803 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.803 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.804 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.804 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.805 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.805 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.806 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.806 * [backup-simplify]: Simplify 0 into 0 4.806 * [backup-simplify]: Simplify -1 into -1 4.806 * [backup-simplify]: Simplify (- (/ (/ 1 f) (+ (/ 1 f) (/ 1 n))) (/ (/ 1 n) (+ (/ 1 f) (/ 1 n)))) into (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) n))) 4.806 * [approximate]: Taking taylor expansion of (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) n))) in (f n) around 0 4.806 * [taylor]: Taking taylor expansion of (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) n))) in n 4.806 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) in n 4.806 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) f) in n 4.806 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 4.806 * [taylor]: Taking taylor expansion of (/ 1 f) in n 4.806 * [taylor]: Taking taylor expansion of f in n 4.807 * [backup-simplify]: Simplify f into f 4.807 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 4.807 * [taylor]: Taking taylor expansion of (/ 1 n) in n 4.807 * [taylor]: Taking taylor expansion of n in n 4.807 * [backup-simplify]: Simplify 0 into 0 4.807 * [backup-simplify]: Simplify 1 into 1 4.807 * [backup-simplify]: Simplify (/ 1 1) into 1 4.807 * [taylor]: Taking taylor expansion of f in n 4.807 * [backup-simplify]: Simplify f into f 4.808 * [backup-simplify]: Simplify (+ 0 1) into 1 4.808 * [backup-simplify]: Simplify (* 1 f) into f 4.808 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 4.808 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) in n 4.808 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) n) in n 4.808 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 4.808 * [taylor]: Taking taylor expansion of (/ 1 f) in n 4.808 * [taylor]: Taking taylor expansion of f in n 4.808 * [backup-simplify]: Simplify f into f 4.808 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 4.808 * [taylor]: Taking taylor expansion of (/ 1 n) in n 4.808 * [taylor]: Taking taylor expansion of n in n 4.808 * [backup-simplify]: Simplify 0 into 0 4.808 * [backup-simplify]: Simplify 1 into 1 4.809 * [backup-simplify]: Simplify (/ 1 1) into 1 4.809 * [taylor]: Taking taylor expansion of n in n 4.809 * [backup-simplify]: Simplify 0 into 0 4.809 * [backup-simplify]: Simplify 1 into 1 4.809 * [backup-simplify]: Simplify (+ 0 1) into 1 4.810 * [backup-simplify]: Simplify (* 1 0) into 0 4.810 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.810 * [backup-simplify]: Simplify (+ (/ 1 f) 0) into (/ 1 f) 4.811 * [backup-simplify]: Simplify (+ (* 1 1) (* (/ 1 f) 0)) into 1 4.811 * [backup-simplify]: Simplify (/ 1 1) into 1 4.811 * [taylor]: Taking taylor expansion of (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) n))) in f 4.811 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) in f 4.811 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) f) in f 4.811 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 4.812 * [taylor]: Taking taylor expansion of (/ 1 f) in f 4.812 * [taylor]: Taking taylor expansion of f in f 4.812 * [backup-simplify]: Simplify 0 into 0 4.812 * [backup-simplify]: Simplify 1 into 1 4.812 * [backup-simplify]: Simplify (/ 1 1) into 1 4.812 * [taylor]: Taking taylor expansion of (/ 1 n) in f 4.812 * [taylor]: Taking taylor expansion of n in f 4.812 * [backup-simplify]: Simplify n into n 4.812 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 4.812 * [taylor]: Taking taylor expansion of f in f 4.812 * [backup-simplify]: Simplify 0 into 0 4.812 * [backup-simplify]: Simplify 1 into 1 4.813 * [backup-simplify]: Simplify (+ 1 0) into 1 4.813 * [backup-simplify]: Simplify (* 1 0) into 0 4.814 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.814 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 4.815 * [backup-simplify]: Simplify (+ (* 1 1) (* (/ 1 n) 0)) into 1 4.815 * [backup-simplify]: Simplify (/ 1 1) into 1 4.815 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) in f 4.815 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) n) in f 4.815 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 4.815 * [taylor]: Taking taylor expansion of (/ 1 f) in f 4.815 * [taylor]: Taking taylor expansion of f in f 4.815 * [backup-simplify]: Simplify 0 into 0 4.815 * [backup-simplify]: Simplify 1 into 1 4.816 * [backup-simplify]: Simplify (/ 1 1) into 1 4.816 * [taylor]: Taking taylor expansion of (/ 1 n) in f 4.816 * [taylor]: Taking taylor expansion of n in f 4.816 * [backup-simplify]: Simplify n into n 4.816 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 4.816 * [taylor]: Taking taylor expansion of n in f 4.816 * [backup-simplify]: Simplify n into n 4.816 * [backup-simplify]: Simplify (+ 1 0) into 1 4.816 * [backup-simplify]: Simplify (* 1 n) into n 4.816 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 4.816 * [taylor]: Taking taylor expansion of (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) n))) in f 4.816 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) in f 4.816 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) f) in f 4.816 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 4.817 * [taylor]: Taking taylor expansion of (/ 1 f) in f 4.817 * [taylor]: Taking taylor expansion of f in f 4.817 * [backup-simplify]: Simplify 0 into 0 4.817 * [backup-simplify]: Simplify 1 into 1 4.817 * [backup-simplify]: Simplify (/ 1 1) into 1 4.817 * [taylor]: Taking taylor expansion of (/ 1 n) in f 4.817 * [taylor]: Taking taylor expansion of n in f 4.817 * [backup-simplify]: Simplify n into n 4.817 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 4.817 * [taylor]: Taking taylor expansion of f in f 4.817 * [backup-simplify]: Simplify 0 into 0 4.817 * [backup-simplify]: Simplify 1 into 1 4.818 * [backup-simplify]: Simplify (+ 1 0) into 1 4.818 * [backup-simplify]: Simplify (* 1 0) into 0 4.819 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.819 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 4.820 * [backup-simplify]: Simplify (+ (* 1 1) (* (/ 1 n) 0)) into 1 4.820 * [backup-simplify]: Simplify (/ 1 1) into 1 4.820 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) in f 4.820 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) n) in f 4.820 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 4.820 * [taylor]: Taking taylor expansion of (/ 1 f) in f 4.820 * [taylor]: Taking taylor expansion of f in f 4.820 * [backup-simplify]: Simplify 0 into 0 4.820 * [backup-simplify]: Simplify 1 into 1 4.821 * [backup-simplify]: Simplify (/ 1 1) into 1 4.821 * [taylor]: Taking taylor expansion of (/ 1 n) in f 4.821 * [taylor]: Taking taylor expansion of n in f 4.821 * [backup-simplify]: Simplify n into n 4.821 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 4.821 * [taylor]: Taking taylor expansion of n in f 4.821 * [backup-simplify]: Simplify n into n 4.821 * [backup-simplify]: Simplify (+ 1 0) into 1 4.821 * [backup-simplify]: Simplify (* 1 n) into n 4.821 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 4.822 * [backup-simplify]: Simplify (+ 1 0) into 1 4.822 * [taylor]: Taking taylor expansion of 1 in n 4.822 * [backup-simplify]: Simplify 1 into 1 4.822 * [backup-simplify]: Simplify 1 into 1 4.823 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.823 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 4.823 * [backup-simplify]: Simplify (+ 0 0) into 0 4.824 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 n) 1) (* 0 0))) into (/ 1 n) 4.824 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 n) 1)))) into (- (/ 1 n)) 4.824 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 4.824 * [backup-simplify]: Simplify (+ (- (/ 1 n)) (- (/ 1 n))) into (- (* 2 (/ 1 n))) 4.824 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 4.824 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 4.824 * [taylor]: Taking taylor expansion of 2 in n 4.824 * [backup-simplify]: Simplify 2 into 2 4.824 * [taylor]: Taking taylor expansion of (/ 1 n) in n 4.824 * [taylor]: Taking taylor expansion of n in n 4.824 * [backup-simplify]: Simplify 0 into 0 4.824 * [backup-simplify]: Simplify 1 into 1 4.824 * [backup-simplify]: Simplify (/ 1 1) into 1 4.825 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.825 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 4.825 * [backup-simplify]: Simplify (- 0) into 0 4.825 * [backup-simplify]: Simplify 0 into 0 4.825 * [backup-simplify]: Simplify 0 into 0 4.826 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.826 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 4.826 * [backup-simplify]: Simplify (+ 0 0) into 0 4.827 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 n) 0) (+ (* 0 1) (* 0 0)))) into 0 4.828 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (- (/ 1 n)) (/ (/ 1 n) 1)))) into (/ 1 (pow n 2)) 4.828 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.828 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 4.828 * [backup-simplify]: Simplify (+ (* 1 0) (* (/ 1 n) n)) into 1 4.829 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 1 n)))) into (- (/ 1 (pow n 2))) 4.829 * [backup-simplify]: Simplify (- (- (/ 1 (pow n 2)))) into (/ 1 (pow n 2)) 4.829 * [backup-simplify]: Simplify (+ (/ 1 (pow n 2)) (/ 1 (pow n 2))) into (* 2 (/ 1 (pow n 2))) 4.829 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 4.829 * [taylor]: Taking taylor expansion of 2 in n 4.829 * [backup-simplify]: Simplify 2 into 2 4.829 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 4.829 * [taylor]: Taking taylor expansion of (pow n 2) in n 4.829 * [taylor]: Taking taylor expansion of n in n 4.829 * [backup-simplify]: Simplify 0 into 0 4.829 * [backup-simplify]: Simplify 1 into 1 4.829 * [backup-simplify]: Simplify (* 1 1) into 1 4.829 * [backup-simplify]: Simplify (/ 1 1) into 1 4.830 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.830 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.831 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.831 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.832 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 4.832 * [backup-simplify]: Simplify 0 into 0 4.832 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.833 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 4.833 * [backup-simplify]: Simplify (- 0) into 0 4.833 * [backup-simplify]: Simplify 0 into 0 4.833 * [backup-simplify]: Simplify 0 into 0 4.834 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.834 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)))) into 0 4.834 * [backup-simplify]: Simplify (+ 0 0) into 0 4.835 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 n) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 4.836 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (- (/ 1 n)) (/ 0 1)) (* (/ 1 (pow n 2)) (/ (/ 1 n) 1)))) into (- (/ 1 (pow n 3))) 4.836 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.836 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 4.837 * [backup-simplify]: Simplify (+ 0 0) into 0 4.837 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 n) 0) (* 0 n))) into 0 4.837 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* (- (/ 1 (pow n 2))) (/ 1 n)))) into (/ 1 (pow n 3)) 4.837 * [backup-simplify]: Simplify (- (/ 1 (pow n 3))) into (- (/ 1 (pow n 3))) 4.837 * [backup-simplify]: Simplify (+ (- (/ 1 (pow n 3))) (- (/ 1 (pow n 3)))) into (- (* 2 (/ 1 (pow n 3)))) 4.837 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 4.837 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 4.837 * [taylor]: Taking taylor expansion of 2 in n 4.837 * [backup-simplify]: Simplify 2 into 2 4.837 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 4.837 * [taylor]: Taking taylor expansion of (pow n 3) in n 4.837 * [taylor]: Taking taylor expansion of n in n 4.837 * [backup-simplify]: Simplify 0 into 0 4.837 * [backup-simplify]: Simplify 1 into 1 4.838 * [backup-simplify]: Simplify (* 1 1) into 1 4.838 * [backup-simplify]: Simplify (* 1 1) into 1 4.838 * [backup-simplify]: Simplify (/ 1 1) into 1 4.839 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.839 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.840 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.840 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.841 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.841 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.842 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.842 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.843 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.844 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.844 * [backup-simplify]: Simplify (- 0) into 0 4.845 * [backup-simplify]: Simplify 0 into 0 4.845 * [backup-simplify]: Simplify 1 into 1 4.845 * [backup-simplify]: Simplify (- (/ (/ 1 (- f)) (+ (/ 1 (- f)) (/ 1 (- n)))) (/ (/ 1 (- n)) (+ (/ 1 (- f)) (/ 1 (- n))))) into (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) n))) 4.845 * [approximate]: Taking taylor expansion of (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) n))) in (f n) around 0 4.845 * [taylor]: Taking taylor expansion of (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) n))) in n 4.845 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) in n 4.845 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) f) in n 4.845 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 4.845 * [taylor]: Taking taylor expansion of (/ 1 f) in n 4.845 * [taylor]: Taking taylor expansion of f in n 4.845 * [backup-simplify]: Simplify f into f 4.845 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 4.845 * [taylor]: Taking taylor expansion of (/ 1 n) in n 4.845 * [taylor]: Taking taylor expansion of n in n 4.845 * [backup-simplify]: Simplify 0 into 0 4.845 * [backup-simplify]: Simplify 1 into 1 4.846 * [backup-simplify]: Simplify (/ 1 1) into 1 4.846 * [taylor]: Taking taylor expansion of f in n 4.846 * [backup-simplify]: Simplify f into f 4.846 * [backup-simplify]: Simplify (+ 0 1) into 1 4.847 * [backup-simplify]: Simplify (* 1 f) into f 4.847 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 4.847 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) in n 4.847 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) n) in n 4.847 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 4.847 * [taylor]: Taking taylor expansion of (/ 1 f) in n 4.847 * [taylor]: Taking taylor expansion of f in n 4.847 * [backup-simplify]: Simplify f into f 4.847 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 4.847 * [taylor]: Taking taylor expansion of (/ 1 n) in n 4.847 * [taylor]: Taking taylor expansion of n in n 4.847 * [backup-simplify]: Simplify 0 into 0 4.847 * [backup-simplify]: Simplify 1 into 1 4.847 * [backup-simplify]: Simplify (/ 1 1) into 1 4.847 * [taylor]: Taking taylor expansion of n in n 4.847 * [backup-simplify]: Simplify 0 into 0 4.847 * [backup-simplify]: Simplify 1 into 1 4.848 * [backup-simplify]: Simplify (+ 0 1) into 1 4.848 * [backup-simplify]: Simplify (* 1 0) into 0 4.849 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.849 * [backup-simplify]: Simplify (+ (/ 1 f) 0) into (/ 1 f) 4.850 * [backup-simplify]: Simplify (+ (* 1 1) (* (/ 1 f) 0)) into 1 4.850 * [backup-simplify]: Simplify (/ 1 1) into 1 4.850 * [taylor]: Taking taylor expansion of (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) n))) in f 4.850 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) in f 4.850 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) f) in f 4.850 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 4.851 * [taylor]: Taking taylor expansion of (/ 1 f) in f 4.851 * [taylor]: Taking taylor expansion of f in f 4.851 * [backup-simplify]: Simplify 0 into 0 4.851 * [backup-simplify]: Simplify 1 into 1 4.851 * [backup-simplify]: Simplify (/ 1 1) into 1 4.851 * [taylor]: Taking taylor expansion of (/ 1 n) in f 4.851 * [taylor]: Taking taylor expansion of n in f 4.851 * [backup-simplify]: Simplify n into n 4.851 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 4.851 * [taylor]: Taking taylor expansion of f in f 4.851 * [backup-simplify]: Simplify 0 into 0 4.851 * [backup-simplify]: Simplify 1 into 1 4.852 * [backup-simplify]: Simplify (+ 1 0) into 1 4.852 * [backup-simplify]: Simplify (* 1 0) into 0 4.853 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.853 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 4.853 * [backup-simplify]: Simplify (+ (* 1 1) (* (/ 1 n) 0)) into 1 4.854 * [backup-simplify]: Simplify (/ 1 1) into 1 4.854 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) in f 4.854 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) n) in f 4.854 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 4.854 * [taylor]: Taking taylor expansion of (/ 1 f) in f 4.854 * [taylor]: Taking taylor expansion of f in f 4.854 * [backup-simplify]: Simplify 0 into 0 4.854 * [backup-simplify]: Simplify 1 into 1 4.854 * [backup-simplify]: Simplify (/ 1 1) into 1 4.854 * [taylor]: Taking taylor expansion of (/ 1 n) in f 4.854 * [taylor]: Taking taylor expansion of n in f 4.854 * [backup-simplify]: Simplify n into n 4.854 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 4.854 * [taylor]: Taking taylor expansion of n in f 4.854 * [backup-simplify]: Simplify n into n 4.855 * [backup-simplify]: Simplify (+ 1 0) into 1 4.855 * [backup-simplify]: Simplify (* 1 n) into n 4.855 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 4.855 * [taylor]: Taking taylor expansion of (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) n))) in f 4.855 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) in f 4.855 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) f) in f 4.855 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 4.855 * [taylor]: Taking taylor expansion of (/ 1 f) in f 4.855 * [taylor]: Taking taylor expansion of f in f 4.855 * [backup-simplify]: Simplify 0 into 0 4.855 * [backup-simplify]: Simplify 1 into 1 4.856 * [backup-simplify]: Simplify (/ 1 1) into 1 4.856 * [taylor]: Taking taylor expansion of (/ 1 n) in f 4.856 * [taylor]: Taking taylor expansion of n in f 4.856 * [backup-simplify]: Simplify n into n 4.856 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 4.856 * [taylor]: Taking taylor expansion of f in f 4.856 * [backup-simplify]: Simplify 0 into 0 4.856 * [backup-simplify]: Simplify 1 into 1 4.856 * [backup-simplify]: Simplify (+ 1 0) into 1 4.857 * [backup-simplify]: Simplify (* 1 0) into 0 4.857 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.857 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 4.858 * [backup-simplify]: Simplify (+ (* 1 1) (* (/ 1 n) 0)) into 1 4.858 * [backup-simplify]: Simplify (/ 1 1) into 1 4.858 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) in f 4.858 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) n) in f 4.858 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 4.858 * [taylor]: Taking taylor expansion of (/ 1 f) in f 4.858 * [taylor]: Taking taylor expansion of f in f 4.858 * [backup-simplify]: Simplify 0 into 0 4.858 * [backup-simplify]: Simplify 1 into 1 4.859 * [backup-simplify]: Simplify (/ 1 1) into 1 4.859 * [taylor]: Taking taylor expansion of (/ 1 n) in f 4.859 * [taylor]: Taking taylor expansion of n in f 4.859 * [backup-simplify]: Simplify n into n 4.859 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 4.859 * [taylor]: Taking taylor expansion of n in f 4.859 * [backup-simplify]: Simplify n into n 4.859 * [backup-simplify]: Simplify (+ 1 0) into 1 4.859 * [backup-simplify]: Simplify (* 1 n) into n 4.859 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 4.860 * [backup-simplify]: Simplify (+ 1 0) into 1 4.860 * [taylor]: Taking taylor expansion of 1 in n 4.860 * [backup-simplify]: Simplify 1 into 1 4.860 * [backup-simplify]: Simplify 1 into 1 4.861 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.861 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 4.861 * [backup-simplify]: Simplify (+ 0 0) into 0 4.862 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 n) 1) (* 0 0))) into (/ 1 n) 4.862 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 n) 1)))) into (- (/ 1 n)) 4.862 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 4.862 * [backup-simplify]: Simplify (+ (- (/ 1 n)) (- (/ 1 n))) into (- (* 2 (/ 1 n))) 4.862 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 4.863 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 4.863 * [taylor]: Taking taylor expansion of 2 in n 4.863 * [backup-simplify]: Simplify 2 into 2 4.863 * [taylor]: Taking taylor expansion of (/ 1 n) in n 4.863 * [taylor]: Taking taylor expansion of n in n 4.863 * [backup-simplify]: Simplify 0 into 0 4.863 * [backup-simplify]: Simplify 1 into 1 4.863 * [backup-simplify]: Simplify (/ 1 1) into 1 4.864 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.864 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 4.865 * [backup-simplify]: Simplify (- 0) into 0 4.865 * [backup-simplify]: Simplify 0 into 0 4.865 * [backup-simplify]: Simplify 0 into 0 4.866 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.866 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 4.866 * [backup-simplify]: Simplify (+ 0 0) into 0 4.867 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 n) 0) (+ (* 0 1) (* 0 0)))) into 0 4.868 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (- (/ 1 n)) (/ (/ 1 n) 1)))) into (/ 1 (pow n 2)) 4.869 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.869 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 4.869 * [backup-simplify]: Simplify (+ (* 1 0) (* (/ 1 n) n)) into 1 4.869 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 1 n)))) into (- (/ 1 (pow n 2))) 4.870 * [backup-simplify]: Simplify (- (- (/ 1 (pow n 2)))) into (/ 1 (pow n 2)) 4.870 * [backup-simplify]: Simplify (+ (/ 1 (pow n 2)) (/ 1 (pow n 2))) into (* 2 (/ 1 (pow n 2))) 4.870 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 4.870 * [taylor]: Taking taylor expansion of 2 in n 4.870 * [backup-simplify]: Simplify 2 into 2 4.870 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 4.870 * [taylor]: Taking taylor expansion of (pow n 2) in n 4.870 * [taylor]: Taking taylor expansion of n in n 4.870 * [backup-simplify]: Simplify 0 into 0 4.870 * [backup-simplify]: Simplify 1 into 1 4.870 * [backup-simplify]: Simplify (* 1 1) into 1 4.871 * [backup-simplify]: Simplify (/ 1 1) into 1 4.872 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.872 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.873 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.874 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.875 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 4.875 * [backup-simplify]: Simplify 0 into 0 4.875 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.876 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 4.877 * [backup-simplify]: Simplify (- 0) into 0 4.877 * [backup-simplify]: Simplify 0 into 0 4.877 * [backup-simplify]: Simplify 0 into 0 4.878 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.878 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)))) into 0 4.879 * [backup-simplify]: Simplify (+ 0 0) into 0 4.880 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 n) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 4.881 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (- (/ 1 n)) (/ 0 1)) (* (/ 1 (pow n 2)) (/ (/ 1 n) 1)))) into (- (/ 1 (pow n 3))) 4.882 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.882 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 4.882 * [backup-simplify]: Simplify (+ 0 0) into 0 4.883 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 n) 0) (* 0 n))) into 0 4.883 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* (- (/ 1 (pow n 2))) (/ 1 n)))) into (/ 1 (pow n 3)) 4.883 * [backup-simplify]: Simplify (- (/ 1 (pow n 3))) into (- (/ 1 (pow n 3))) 4.883 * [backup-simplify]: Simplify (+ (- (/ 1 (pow n 3))) (- (/ 1 (pow n 3)))) into (- (* 2 (/ 1 (pow n 3)))) 4.883 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 4.883 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 4.883 * [taylor]: Taking taylor expansion of 2 in n 4.883 * [backup-simplify]: Simplify 2 into 2 4.883 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 4.883 * [taylor]: Taking taylor expansion of (pow n 3) in n 4.883 * [taylor]: Taking taylor expansion of n in n 4.883 * [backup-simplify]: Simplify 0 into 0 4.883 * [backup-simplify]: Simplify 1 into 1 4.884 * [backup-simplify]: Simplify (* 1 1) into 1 4.884 * [backup-simplify]: Simplify (* 1 1) into 1 4.884 * [backup-simplify]: Simplify (/ 1 1) into 1 4.885 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.886 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.887 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.888 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.889 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.890 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.891 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.892 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.893 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.894 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.894 * [backup-simplify]: Simplify (- 0) into 0 4.894 * [backup-simplify]: Simplify 0 into 0 4.894 * [backup-simplify]: Simplify 1 into 1 4.894 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1) 4.894 * [backup-simplify]: Simplify (/ f (+ f n)) into (/ f (+ n f)) 4.894 * [approximate]: Taking taylor expansion of (/ f (+ n f)) in (f n) around 0 4.894 * [taylor]: Taking taylor expansion of (/ f (+ n f)) in n 4.894 * [taylor]: Taking taylor expansion of f in n 4.894 * [backup-simplify]: Simplify f into f 4.895 * [taylor]: Taking taylor expansion of (+ n f) in n 4.895 * [taylor]: Taking taylor expansion of n in n 4.895 * [backup-simplify]: Simplify 0 into 0 4.895 * [backup-simplify]: Simplify 1 into 1 4.895 * [taylor]: Taking taylor expansion of f in n 4.895 * [backup-simplify]: Simplify f into f 4.895 * [backup-simplify]: Simplify (+ 0 f) into f 4.895 * [backup-simplify]: Simplify (/ f f) into 1 4.895 * [taylor]: Taking taylor expansion of (/ f (+ n f)) in f 4.895 * [taylor]: Taking taylor expansion of f in f 4.895 * [backup-simplify]: Simplify 0 into 0 4.895 * [backup-simplify]: Simplify 1 into 1 4.895 * [taylor]: Taking taylor expansion of (+ n f) in f 4.895 * [taylor]: Taking taylor expansion of n in f 4.895 * [backup-simplify]: Simplify n into n 4.895 * [taylor]: Taking taylor expansion of f in f 4.895 * [backup-simplify]: Simplify 0 into 0 4.895 * [backup-simplify]: Simplify 1 into 1 4.895 * [backup-simplify]: Simplify (+ n 0) into n 4.895 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 4.895 * [taylor]: Taking taylor expansion of (/ f (+ n f)) in f 4.895 * [taylor]: Taking taylor expansion of f in f 4.895 * [backup-simplify]: Simplify 0 into 0 4.895 * [backup-simplify]: Simplify 1 into 1 4.895 * [taylor]: Taking taylor expansion of (+ n f) in f 4.895 * [taylor]: Taking taylor expansion of n in f 4.895 * [backup-simplify]: Simplify n into n 4.895 * [taylor]: Taking taylor expansion of f in f 4.895 * [backup-simplify]: Simplify 0 into 0 4.895 * [backup-simplify]: Simplify 1 into 1 4.895 * [backup-simplify]: Simplify (+ n 0) into n 4.896 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 4.896 * [taylor]: Taking taylor expansion of (/ 1 n) in n 4.896 * [taylor]: Taking taylor expansion of n in n 4.896 * [backup-simplify]: Simplify 0 into 0 4.896 * [backup-simplify]: Simplify 1 into 1 4.896 * [backup-simplify]: Simplify (/ 1 1) into 1 4.897 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.897 * [backup-simplify]: Simplify 0 into 0 4.898 * [backup-simplify]: Simplify (+ 0 1) into 1 4.898 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* (/ 1 n) (/ 1 n)))) into (- (/ 1 (pow n 2))) 4.898 * [taylor]: Taking taylor expansion of (- (/ 1 (pow n 2))) in n 4.898 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 4.898 * [taylor]: Taking taylor expansion of (pow n 2) in n 4.898 * [taylor]: Taking taylor expansion of n in n 4.898 * [backup-simplify]: Simplify 0 into 0 4.898 * [backup-simplify]: Simplify 1 into 1 4.898 * [backup-simplify]: Simplify (* 1 1) into 1 4.899 * [backup-simplify]: Simplify (/ 1 1) into 1 4.900 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.901 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.902 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.903 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.903 * [backup-simplify]: Simplify (- 0) into 0 4.903 * [backup-simplify]: Simplify 0 into 0 4.904 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.904 * [backup-simplify]: Simplify 0 into 0 4.909 * [backup-simplify]: Simplify (+ 0 0) into 0 4.910 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* (/ 1 n) (/ 0 n)) (* (- (/ 1 (pow n 2))) (/ 1 n)))) into (/ 1 (pow n 3)) 4.910 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 4.910 * [taylor]: Taking taylor expansion of (pow n 3) in n 4.910 * [taylor]: Taking taylor expansion of n in n 4.910 * [backup-simplify]: Simplify 0 into 0 4.910 * [backup-simplify]: Simplify 1 into 1 4.911 * [backup-simplify]: Simplify (* 1 1) into 1 4.911 * [backup-simplify]: Simplify (* 1 1) into 1 4.911 * [backup-simplify]: Simplify (/ 1 1) into 1 4.912 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.913 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.914 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.915 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.916 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.917 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.918 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.919 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.920 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.920 * [backup-simplify]: Simplify 0 into 0 4.921 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.922 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.922 * [backup-simplify]: Simplify (- 0) into 0 4.922 * [backup-simplify]: Simplify 0 into 0 4.923 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.923 * [backup-simplify]: Simplify 0 into 0 4.923 * [backup-simplify]: Simplify 0 into 0 4.924 * [backup-simplify]: Simplify (/ (/ 1 f) (+ (/ 1 f) (/ 1 n))) into (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) 4.924 * [approximate]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) in (f n) around 0 4.924 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) in n 4.924 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) f) in n 4.924 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 4.924 * [taylor]: Taking taylor expansion of (/ 1 f) in n 4.924 * [taylor]: Taking taylor expansion of f in n 4.924 * [backup-simplify]: Simplify f into f 4.924 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 4.924 * [taylor]: Taking taylor expansion of (/ 1 n) in n 4.924 * [taylor]: Taking taylor expansion of n in n 4.924 * [backup-simplify]: Simplify 0 into 0 4.924 * [backup-simplify]: Simplify 1 into 1 4.924 * [backup-simplify]: Simplify (/ 1 1) into 1 4.925 * [taylor]: Taking taylor expansion of f in n 4.925 * [backup-simplify]: Simplify f into f 4.925 * [backup-simplify]: Simplify (+ 0 1) into 1 4.925 * [backup-simplify]: Simplify (* 1 f) into f 4.925 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 4.925 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) in f 4.925 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) f) in f 4.925 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 4.925 * [taylor]: Taking taylor expansion of (/ 1 f) in f 4.925 * [taylor]: Taking taylor expansion of f in f 4.925 * [backup-simplify]: Simplify 0 into 0 4.925 * [backup-simplify]: Simplify 1 into 1 4.926 * [backup-simplify]: Simplify (/ 1 1) into 1 4.926 * [taylor]: Taking taylor expansion of (/ 1 n) in f 4.926 * [taylor]: Taking taylor expansion of n in f 4.926 * [backup-simplify]: Simplify n into n 4.926 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 4.926 * [taylor]: Taking taylor expansion of f in f 4.926 * [backup-simplify]: Simplify 0 into 0 4.926 * [backup-simplify]: Simplify 1 into 1 4.926 * [backup-simplify]: Simplify (+ 1 0) into 1 4.927 * [backup-simplify]: Simplify (* 1 0) into 0 4.928 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.928 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 4.929 * [backup-simplify]: Simplify (+ (* 1 1) (* (/ 1 n) 0)) into 1 4.929 * [backup-simplify]: Simplify (/ 1 1) into 1 4.929 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) in f 4.929 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) f) in f 4.929 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 4.929 * [taylor]: Taking taylor expansion of (/ 1 f) in f 4.929 * [taylor]: Taking taylor expansion of f in f 4.929 * [backup-simplify]: Simplify 0 into 0 4.929 * [backup-simplify]: Simplify 1 into 1 4.930 * [backup-simplify]: Simplify (/ 1 1) into 1 4.930 * [taylor]: Taking taylor expansion of (/ 1 n) in f 4.930 * [taylor]: Taking taylor expansion of n in f 4.930 * [backup-simplify]: Simplify n into n 4.930 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 4.930 * [taylor]: Taking taylor expansion of f in f 4.930 * [backup-simplify]: Simplify 0 into 0 4.930 * [backup-simplify]: Simplify 1 into 1 4.930 * [backup-simplify]: Simplify (+ 1 0) into 1 4.931 * [backup-simplify]: Simplify (* 1 0) into 0 4.932 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.932 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 4.932 * [backup-simplify]: Simplify (+ (* 1 1) (* (/ 1 n) 0)) into 1 4.933 * [backup-simplify]: Simplify (/ 1 1) into 1 4.933 * [taylor]: Taking taylor expansion of 1 in n 4.933 * [backup-simplify]: Simplify 1 into 1 4.933 * [backup-simplify]: Simplify 0 into 0 4.934 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.934 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 4.934 * [backup-simplify]: Simplify (+ 0 0) into 0 4.935 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 n) 1) (* 0 0))) into (/ 1 n) 4.935 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 n) 1)))) into (- (/ 1 n)) 4.936 * [taylor]: Taking taylor expansion of (- (/ 1 n)) in n 4.936 * [taylor]: Taking taylor expansion of (/ 1 n) in n 4.936 * [taylor]: Taking taylor expansion of n in n 4.936 * [backup-simplify]: Simplify 0 into 0 4.936 * [backup-simplify]: Simplify 1 into 1 4.936 * [backup-simplify]: Simplify (/ 1 1) into 1 4.937 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.938 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.938 * [backup-simplify]: Simplify (- 0) into 0 4.938 * [backup-simplify]: Simplify 0 into 0 4.938 * [backup-simplify]: Simplify 0 into 0 4.939 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.940 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 4.940 * [backup-simplify]: Simplify (+ 0 0) into 0 4.941 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 n) 0) (+ (* 0 1) (* 0 0)))) into 0 4.942 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (- (/ 1 n)) (/ (/ 1 n) 1)))) into (/ 1 (pow n 2)) 4.942 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 4.942 * [taylor]: Taking taylor expansion of (pow n 2) in n 4.942 * [taylor]: Taking taylor expansion of n in n 4.942 * [backup-simplify]: Simplify 0 into 0 4.942 * [backup-simplify]: Simplify 1 into 1 4.943 * [backup-simplify]: Simplify (* 1 1) into 1 4.943 * [backup-simplify]: Simplify (/ 1 1) into 1 4.944 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.945 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.945 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.946 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.947 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.948 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.948 * [backup-simplify]: Simplify 0 into 0 4.949 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.949 * [backup-simplify]: Simplify (- 0) into 0 4.949 * [backup-simplify]: Simplify 0 into 0 4.949 * [backup-simplify]: Simplify 0 into 0 4.949 * [backup-simplify]: Simplify 0 into 0 4.950 * [backup-simplify]: Simplify (/ (/ 1 (- f)) (+ (/ 1 (- f)) (/ 1 (- n)))) into (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) 4.950 * [approximate]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) in (f n) around 0 4.950 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) in n 4.950 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) f) in n 4.950 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 4.950 * [taylor]: Taking taylor expansion of (/ 1 f) in n 4.950 * [taylor]: Taking taylor expansion of f in n 4.950 * [backup-simplify]: Simplify f into f 4.950 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 4.950 * [taylor]: Taking taylor expansion of (/ 1 n) in n 4.950 * [taylor]: Taking taylor expansion of n in n 4.950 * [backup-simplify]: Simplify 0 into 0 4.950 * [backup-simplify]: Simplify 1 into 1 4.950 * [backup-simplify]: Simplify (/ 1 1) into 1 4.950 * [taylor]: Taking taylor expansion of f in n 4.950 * [backup-simplify]: Simplify f into f 4.951 * [backup-simplify]: Simplify (+ 0 1) into 1 4.951 * [backup-simplify]: Simplify (* 1 f) into f 4.951 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 4.951 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) in f 4.951 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) f) in f 4.951 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 4.951 * [taylor]: Taking taylor expansion of (/ 1 f) in f 4.951 * [taylor]: Taking taylor expansion of f in f 4.951 * [backup-simplify]: Simplify 0 into 0 4.951 * [backup-simplify]: Simplify 1 into 1 4.951 * [backup-simplify]: Simplify (/ 1 1) into 1 4.952 * [taylor]: Taking taylor expansion of (/ 1 n) in f 4.952 * [taylor]: Taking taylor expansion of n in f 4.952 * [backup-simplify]: Simplify n into n 4.952 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 4.952 * [taylor]: Taking taylor expansion of f in f 4.952 * [backup-simplify]: Simplify 0 into 0 4.952 * [backup-simplify]: Simplify 1 into 1 4.952 * [backup-simplify]: Simplify (+ 1 0) into 1 4.953 * [backup-simplify]: Simplify (* 1 0) into 0 4.953 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.953 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 4.954 * [backup-simplify]: Simplify (+ (* 1 1) (* (/ 1 n) 0)) into 1 4.954 * [backup-simplify]: Simplify (/ 1 1) into 1 4.954 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) in f 4.954 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) f) in f 4.954 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 4.954 * [taylor]: Taking taylor expansion of (/ 1 f) in f 4.954 * [taylor]: Taking taylor expansion of f in f 4.954 * [backup-simplify]: Simplify 0 into 0 4.954 * [backup-simplify]: Simplify 1 into 1 4.955 * [backup-simplify]: Simplify (/ 1 1) into 1 4.955 * [taylor]: Taking taylor expansion of (/ 1 n) in f 4.955 * [taylor]: Taking taylor expansion of n in f 4.955 * [backup-simplify]: Simplify n into n 4.955 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 4.955 * [taylor]: Taking taylor expansion of f in f 4.955 * [backup-simplify]: Simplify 0 into 0 4.955 * [backup-simplify]: Simplify 1 into 1 4.955 * [backup-simplify]: Simplify (+ 1 0) into 1 4.956 * [backup-simplify]: Simplify (* 1 0) into 0 4.956 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.956 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 4.957 * [backup-simplify]: Simplify (+ (* 1 1) (* (/ 1 n) 0)) into 1 4.957 * [backup-simplify]: Simplify (/ 1 1) into 1 4.957 * [taylor]: Taking taylor expansion of 1 in n 4.957 * [backup-simplify]: Simplify 1 into 1 4.957 * [backup-simplify]: Simplify 0 into 0 4.958 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.958 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 4.959 * [backup-simplify]: Simplify (+ 0 0) into 0 4.960 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 n) 1) (* 0 0))) into (/ 1 n) 4.960 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 n) 1)))) into (- (/ 1 n)) 4.960 * [taylor]: Taking taylor expansion of (- (/ 1 n)) in n 4.960 * [taylor]: Taking taylor expansion of (/ 1 n) in n 4.960 * [taylor]: Taking taylor expansion of n in n 4.960 * [backup-simplify]: Simplify 0 into 0 4.960 * [backup-simplify]: Simplify 1 into 1 4.960 * [backup-simplify]: Simplify (/ 1 1) into 1 4.961 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.962 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.962 * [backup-simplify]: Simplify (- 0) into 0 4.962 * [backup-simplify]: Simplify 0 into 0 4.962 * [backup-simplify]: Simplify 0 into 0 4.963 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.963 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 4.964 * [backup-simplify]: Simplify (+ 0 0) into 0 4.965 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 n) 0) (+ (* 0 1) (* 0 0)))) into 0 4.966 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (- (/ 1 n)) (/ (/ 1 n) 1)))) into (/ 1 (pow n 2)) 4.966 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 4.966 * [taylor]: Taking taylor expansion of (pow n 2) in n 4.966 * [taylor]: Taking taylor expansion of n in n 4.966 * [backup-simplify]: Simplify 0 into 0 4.966 * [backup-simplify]: Simplify 1 into 1 4.966 * [backup-simplify]: Simplify (* 1 1) into 1 4.967 * [backup-simplify]: Simplify (/ 1 1) into 1 4.968 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.969 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.969 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.970 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.971 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.972 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.972 * [backup-simplify]: Simplify 0 into 0 4.973 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.974 * [backup-simplify]: Simplify (- 0) into 0 4.974 * [backup-simplify]: Simplify 0 into 0 4.974 * [backup-simplify]: Simplify 0 into 0 4.974 * [backup-simplify]: Simplify 0 into 0 4.974 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 2) 4.974 * [backup-simplify]: Simplify (/ n (+ f n)) into (/ n (+ n f)) 4.974 * [approximate]: Taking taylor expansion of (/ n (+ n f)) in (n f) around 0 4.974 * [taylor]: Taking taylor expansion of (/ n (+ n f)) in f 4.974 * [taylor]: Taking taylor expansion of n in f 4.974 * [backup-simplify]: Simplify n into n 4.974 * [taylor]: Taking taylor expansion of (+ n f) in f 4.974 * [taylor]: Taking taylor expansion of n in f 4.974 * [backup-simplify]: Simplify n into n 4.974 * [taylor]: Taking taylor expansion of f in f 4.974 * [backup-simplify]: Simplify 0 into 0 4.974 * [backup-simplify]: Simplify 1 into 1 4.974 * [backup-simplify]: Simplify (+ n 0) into n 4.974 * [backup-simplify]: Simplify (/ n n) into 1 4.974 * [taylor]: Taking taylor expansion of (/ n (+ n f)) in n 4.974 * [taylor]: Taking taylor expansion of n in n 4.975 * [backup-simplify]: Simplify 0 into 0 4.975 * [backup-simplify]: Simplify 1 into 1 4.975 * [taylor]: Taking taylor expansion of (+ n f) in n 4.975 * [taylor]: Taking taylor expansion of n in n 4.975 * [backup-simplify]: Simplify 0 into 0 4.975 * [backup-simplify]: Simplify 1 into 1 4.975 * [taylor]: Taking taylor expansion of f in n 4.975 * [backup-simplify]: Simplify f into f 4.975 * [backup-simplify]: Simplify (+ 0 f) into f 4.975 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 4.975 * [taylor]: Taking taylor expansion of (/ n (+ n f)) in n 4.975 * [taylor]: Taking taylor expansion of n in n 4.975 * [backup-simplify]: Simplify 0 into 0 4.975 * [backup-simplify]: Simplify 1 into 1 4.975 * [taylor]: Taking taylor expansion of (+ n f) in n 4.975 * [taylor]: Taking taylor expansion of n in n 4.975 * [backup-simplify]: Simplify 0 into 0 4.975 * [backup-simplify]: Simplify 1 into 1 4.975 * [taylor]: Taking taylor expansion of f in n 4.975 * [backup-simplify]: Simplify f into f 4.975 * [backup-simplify]: Simplify (+ 0 f) into f 4.975 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 4.975 * [taylor]: Taking taylor expansion of (/ 1 f) in f 4.975 * [taylor]: Taking taylor expansion of f in f 4.975 * [backup-simplify]: Simplify 0 into 0 4.975 * [backup-simplify]: Simplify 1 into 1 4.976 * [backup-simplify]: Simplify (/ 1 1) into 1 4.977 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.977 * [backup-simplify]: Simplify 0 into 0 4.977 * [backup-simplify]: Simplify (+ 1 0) into 1 4.977 * [backup-simplify]: Simplify (- (/ 0 f) (+ (* (/ 1 f) (/ 1 f)))) into (- (/ 1 (pow f 2))) 4.977 * [taylor]: Taking taylor expansion of (- (/ 1 (pow f 2))) in f 4.977 * [taylor]: Taking taylor expansion of (/ 1 (pow f 2)) in f 4.978 * [taylor]: Taking taylor expansion of (pow f 2) in f 4.978 * [taylor]: Taking taylor expansion of f in f 4.978 * [backup-simplify]: Simplify 0 into 0 4.978 * [backup-simplify]: Simplify 1 into 1 4.978 * [backup-simplify]: Simplify (* 1 1) into 1 4.978 * [backup-simplify]: Simplify (/ 1 1) into 1 4.979 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.980 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.981 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.982 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.982 * [backup-simplify]: Simplify (- 0) into 0 4.982 * [backup-simplify]: Simplify 0 into 0 4.983 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.983 * [backup-simplify]: Simplify 0 into 0 4.984 * [backup-simplify]: Simplify (+ 0 0) into 0 4.984 * [backup-simplify]: Simplify (- (/ 0 f) (+ (* (/ 1 f) (/ 0 f)) (* (- (/ 1 (pow f 2))) (/ 1 f)))) into (/ 1 (pow f 3)) 4.984 * [taylor]: Taking taylor expansion of (/ 1 (pow f 3)) in f 4.984 * [taylor]: Taking taylor expansion of (pow f 3) in f 4.984 * [taylor]: Taking taylor expansion of f in f 4.984 * [backup-simplify]: Simplify 0 into 0 4.984 * [backup-simplify]: Simplify 1 into 1 4.985 * [backup-simplify]: Simplify (* 1 1) into 1 4.985 * [backup-simplify]: Simplify (* 1 1) into 1 4.985 * [backup-simplify]: Simplify (/ 1 1) into 1 4.986 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.987 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.989 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.990 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.991 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.991 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.992 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.993 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.994 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.994 * [backup-simplify]: Simplify 0 into 0 4.995 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.996 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.997 * [backup-simplify]: Simplify (- 0) into 0 4.997 * [backup-simplify]: Simplify 0 into 0 4.998 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.998 * [backup-simplify]: Simplify 0 into 0 4.998 * [backup-simplify]: Simplify 0 into 0 4.998 * [backup-simplify]: Simplify (/ (/ 1 n) (+ (/ 1 f) (/ 1 n))) into (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) 4.998 * [approximate]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) in (n f) around 0 4.998 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) in f 4.998 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) n) in f 4.998 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 4.998 * [taylor]: Taking taylor expansion of (/ 1 f) in f 4.998 * [taylor]: Taking taylor expansion of f in f 4.998 * [backup-simplify]: Simplify 0 into 0 4.998 * [backup-simplify]: Simplify 1 into 1 4.999 * [backup-simplify]: Simplify (/ 1 1) into 1 4.999 * [taylor]: Taking taylor expansion of (/ 1 n) in f 4.999 * [taylor]: Taking taylor expansion of n in f 4.999 * [backup-simplify]: Simplify n into n 4.999 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 4.999 * [taylor]: Taking taylor expansion of n in f 4.999 * [backup-simplify]: Simplify n into n 4.999 * [backup-simplify]: Simplify (+ 1 0) into 1 4.999 * [backup-simplify]: Simplify (* 1 n) into n 4.999 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 4.999 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) in n 4.999 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) n) in n 4.999 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 5.000 * [taylor]: Taking taylor expansion of (/ 1 f) in n 5.000 * [taylor]: Taking taylor expansion of f in n 5.000 * [backup-simplify]: Simplify f into f 5.000 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 5.000 * [taylor]: Taking taylor expansion of (/ 1 n) in n 5.000 * [taylor]: Taking taylor expansion of n in n 5.000 * [backup-simplify]: Simplify 0 into 0 5.000 * [backup-simplify]: Simplify 1 into 1 5.000 * [backup-simplify]: Simplify (/ 1 1) into 1 5.000 * [taylor]: Taking taylor expansion of n in n 5.000 * [backup-simplify]: Simplify 0 into 0 5.000 * [backup-simplify]: Simplify 1 into 1 5.001 * [backup-simplify]: Simplify (+ 0 1) into 1 5.002 * [backup-simplify]: Simplify (* 1 0) into 0 5.003 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.003 * [backup-simplify]: Simplify (+ (/ 1 f) 0) into (/ 1 f) 5.003 * [backup-simplify]: Simplify (+ (* 1 1) (* (/ 1 f) 0)) into 1 5.004 * [backup-simplify]: Simplify (/ 1 1) into 1 5.004 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) in n 5.004 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) n) in n 5.004 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 5.004 * [taylor]: Taking taylor expansion of (/ 1 f) in n 5.004 * [taylor]: Taking taylor expansion of f in n 5.004 * [backup-simplify]: Simplify f into f 5.004 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 5.004 * [taylor]: Taking taylor expansion of (/ 1 n) in n 5.004 * [taylor]: Taking taylor expansion of n in n 5.004 * [backup-simplify]: Simplify 0 into 0 5.004 * [backup-simplify]: Simplify 1 into 1 5.004 * [backup-simplify]: Simplify (/ 1 1) into 1 5.004 * [taylor]: Taking taylor expansion of n in n 5.004 * [backup-simplify]: Simplify 0 into 0 5.004 * [backup-simplify]: Simplify 1 into 1 5.005 * [backup-simplify]: Simplify (+ 0 1) into 1 5.005 * [backup-simplify]: Simplify (* 1 0) into 0 5.006 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.006 * [backup-simplify]: Simplify (+ (/ 1 f) 0) into (/ 1 f) 5.007 * [backup-simplify]: Simplify (+ (* 1 1) (* (/ 1 f) 0)) into 1 5.007 * [backup-simplify]: Simplify (/ 1 1) into 1 5.007 * [taylor]: Taking taylor expansion of 1 in f 5.007 * [backup-simplify]: Simplify 1 into 1 5.007 * [backup-simplify]: Simplify 0 into 0 5.007 * [backup-simplify]: Simplify (- (+ (* (/ 1 f) (/ 0 f)))) into 0 5.008 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.009 * [backup-simplify]: Simplify (+ 0 0) into 0 5.009 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 f) 1) (* 0 0))) into (/ 1 f) 5.010 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 f) 1)))) into (- (/ 1 f)) 5.010 * [taylor]: Taking taylor expansion of (- (/ 1 f)) in f 5.010 * [taylor]: Taking taylor expansion of (/ 1 f) in f 5.010 * [taylor]: Taking taylor expansion of f in f 5.010 * [backup-simplify]: Simplify 0 into 0 5.010 * [backup-simplify]: Simplify 1 into 1 5.010 * [backup-simplify]: Simplify (/ 1 1) into 1 5.011 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.012 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.012 * [backup-simplify]: Simplify (- 0) into 0 5.012 * [backup-simplify]: Simplify 0 into 0 5.012 * [backup-simplify]: Simplify 0 into 0 5.012 * [backup-simplify]: Simplify (- (+ (* (/ 1 f) (/ 0 f)) (* 0 (/ 0 f)))) into 0 5.013 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.014 * [backup-simplify]: Simplify (+ 0 0) into 0 5.015 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 f) 0) (+ (* 0 1) (* 0 0)))) into 0 5.016 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (- (/ 1 f)) (/ (/ 1 f) 1)))) into (/ 1 (pow f 2)) 5.016 * [taylor]: Taking taylor expansion of (/ 1 (pow f 2)) in f 5.016 * [taylor]: Taking taylor expansion of (pow f 2) in f 5.016 * [taylor]: Taking taylor expansion of f in f 5.016 * [backup-simplify]: Simplify 0 into 0 5.016 * [backup-simplify]: Simplify 1 into 1 5.016 * [backup-simplify]: Simplify (* 1 1) into 1 5.016 * [backup-simplify]: Simplify (/ 1 1) into 1 5.017 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.018 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.019 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.020 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.021 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.022 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.022 * [backup-simplify]: Simplify 0 into 0 5.023 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.023 * [backup-simplify]: Simplify (- 0) into 0 5.023 * [backup-simplify]: Simplify 0 into 0 5.023 * [backup-simplify]: Simplify 0 into 0 5.023 * [backup-simplify]: Simplify 0 into 0 5.023 * [backup-simplify]: Simplify (/ (/ 1 (- n)) (+ (/ 1 (- f)) (/ 1 (- n)))) into (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) 5.024 * [approximate]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) in (n f) around 0 5.024 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) in f 5.024 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) n) in f 5.024 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 5.024 * [taylor]: Taking taylor expansion of (/ 1 f) in f 5.024 * [taylor]: Taking taylor expansion of f in f 5.024 * [backup-simplify]: Simplify 0 into 0 5.024 * [backup-simplify]: Simplify 1 into 1 5.024 * [backup-simplify]: Simplify (/ 1 1) into 1 5.024 * [taylor]: Taking taylor expansion of (/ 1 n) in f 5.024 * [taylor]: Taking taylor expansion of n in f 5.024 * [backup-simplify]: Simplify n into n 5.024 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 5.024 * [taylor]: Taking taylor expansion of n in f 5.024 * [backup-simplify]: Simplify n into n 5.025 * [backup-simplify]: Simplify (+ 1 0) into 1 5.025 * [backup-simplify]: Simplify (* 1 n) into n 5.025 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 5.025 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) in n 5.025 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) n) in n 5.025 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 5.025 * [taylor]: Taking taylor expansion of (/ 1 f) in n 5.025 * [taylor]: Taking taylor expansion of f in n 5.025 * [backup-simplify]: Simplify f into f 5.025 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 5.025 * [taylor]: Taking taylor expansion of (/ 1 n) in n 5.025 * [taylor]: Taking taylor expansion of n in n 5.025 * [backup-simplify]: Simplify 0 into 0 5.025 * [backup-simplify]: Simplify 1 into 1 5.026 * [backup-simplify]: Simplify (/ 1 1) into 1 5.026 * [taylor]: Taking taylor expansion of n in n 5.026 * [backup-simplify]: Simplify 0 into 0 5.026 * [backup-simplify]: Simplify 1 into 1 5.026 * [backup-simplify]: Simplify (+ 0 1) into 1 5.027 * [backup-simplify]: Simplify (* 1 0) into 0 5.027 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.027 * [backup-simplify]: Simplify (+ (/ 1 f) 0) into (/ 1 f) 5.028 * [backup-simplify]: Simplify (+ (* 1 1) (* (/ 1 f) 0)) into 1 5.028 * [backup-simplify]: Simplify (/ 1 1) into 1 5.028 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) in n 5.028 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) n) in n 5.028 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 5.028 * [taylor]: Taking taylor expansion of (/ 1 f) in n 5.028 * [taylor]: Taking taylor expansion of f in n 5.028 * [backup-simplify]: Simplify f into f 5.029 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 5.029 * [taylor]: Taking taylor expansion of (/ 1 n) in n 5.029 * [taylor]: Taking taylor expansion of n in n 5.029 * [backup-simplify]: Simplify 0 into 0 5.029 * [backup-simplify]: Simplify 1 into 1 5.029 * [backup-simplify]: Simplify (/ 1 1) into 1 5.029 * [taylor]: Taking taylor expansion of n in n 5.029 * [backup-simplify]: Simplify 0 into 0 5.029 * [backup-simplify]: Simplify 1 into 1 5.030 * [backup-simplify]: Simplify (+ 0 1) into 1 5.030 * [backup-simplify]: Simplify (* 1 0) into 0 5.031 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.031 * [backup-simplify]: Simplify (+ (/ 1 f) 0) into (/ 1 f) 5.031 * [backup-simplify]: Simplify (+ (* 1 1) (* (/ 1 f) 0)) into 1 5.032 * [backup-simplify]: Simplify (/ 1 1) into 1 5.032 * [taylor]: Taking taylor expansion of 1 in f 5.032 * [backup-simplify]: Simplify 1 into 1 5.032 * [backup-simplify]: Simplify 0 into 0 5.032 * [backup-simplify]: Simplify (- (+ (* (/ 1 f) (/ 0 f)))) into 0 5.033 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.033 * [backup-simplify]: Simplify (+ 0 0) into 0 5.034 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 f) 1) (* 0 0))) into (/ 1 f) 5.034 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 f) 1)))) into (- (/ 1 f)) 5.035 * [taylor]: Taking taylor expansion of (- (/ 1 f)) in f 5.035 * [taylor]: Taking taylor expansion of (/ 1 f) in f 5.035 * [taylor]: Taking taylor expansion of f in f 5.035 * [backup-simplify]: Simplify 0 into 0 5.035 * [backup-simplify]: Simplify 1 into 1 5.035 * [backup-simplify]: Simplify (/ 1 1) into 1 5.036 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.037 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.037 * [backup-simplify]: Simplify (- 0) into 0 5.037 * [backup-simplify]: Simplify 0 into 0 5.037 * [backup-simplify]: Simplify 0 into 0 5.037 * [backup-simplify]: Simplify (- (+ (* (/ 1 f) (/ 0 f)) (* 0 (/ 0 f)))) into 0 5.038 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.039 * [backup-simplify]: Simplify (+ 0 0) into 0 5.040 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 f) 0) (+ (* 0 1) (* 0 0)))) into 0 5.041 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (- (/ 1 f)) (/ (/ 1 f) 1)))) into (/ 1 (pow f 2)) 5.041 * [taylor]: Taking taylor expansion of (/ 1 (pow f 2)) in f 5.041 * [taylor]: Taking taylor expansion of (pow f 2) in f 5.041 * [taylor]: Taking taylor expansion of f in f 5.041 * [backup-simplify]: Simplify 0 into 0 5.041 * [backup-simplify]: Simplify 1 into 1 5.041 * [backup-simplify]: Simplify (* 1 1) into 1 5.042 * [backup-simplify]: Simplify (/ 1 1) into 1 5.043 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.043 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.044 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.045 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.046 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.047 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.047 * [backup-simplify]: Simplify 0 into 0 5.047 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.048 * [backup-simplify]: Simplify (- 0) into 0 5.048 * [backup-simplify]: Simplify 0 into 0 5.048 * [backup-simplify]: Simplify 0 into 0 5.048 * [backup-simplify]: Simplify 0 into 0 5.048 * * * * [progress]: [ 4 / 4 ] generating series at (2) 5.048 * [backup-simplify]: Simplify (/ -1 (- (/ f (+ f n)) (/ n (+ f n)))) into (/ -1 (- (/ f (+ n f)) (/ n (+ n f)))) 5.048 * [approximate]: Taking taylor expansion of (/ -1 (- (/ f (+ n f)) (/ n (+ n f)))) in (f n) around 0 5.048 * [taylor]: Taking taylor expansion of (/ -1 (- (/ f (+ n f)) (/ n (+ n f)))) in n 5.048 * [taylor]: Taking taylor expansion of -1 in n 5.048 * [backup-simplify]: Simplify -1 into -1 5.048 * [taylor]: Taking taylor expansion of (- (/ f (+ n f)) (/ n (+ n f))) in n 5.048 * [taylor]: Taking taylor expansion of (/ f (+ n f)) in n 5.048 * [taylor]: Taking taylor expansion of f in n 5.048 * [backup-simplify]: Simplify f into f 5.048 * [taylor]: Taking taylor expansion of (+ n f) in n 5.048 * [taylor]: Taking taylor expansion of n in n 5.048 * [backup-simplify]: Simplify 0 into 0 5.048 * [backup-simplify]: Simplify 1 into 1 5.048 * [taylor]: Taking taylor expansion of f in n 5.048 * [backup-simplify]: Simplify f into f 5.048 * [backup-simplify]: Simplify (+ 0 f) into f 5.048 * [backup-simplify]: Simplify (/ f f) into 1 5.048 * [taylor]: Taking taylor expansion of (/ n (+ n f)) in n 5.048 * [taylor]: Taking taylor expansion of n in n 5.048 * [backup-simplify]: Simplify 0 into 0 5.048 * [backup-simplify]: Simplify 1 into 1 5.048 * [taylor]: Taking taylor expansion of (+ n f) in n 5.048 * [taylor]: Taking taylor expansion of n in n 5.048 * [backup-simplify]: Simplify 0 into 0 5.048 * [backup-simplify]: Simplify 1 into 1 5.048 * [taylor]: Taking taylor expansion of f in n 5.048 * [backup-simplify]: Simplify f into f 5.048 * [backup-simplify]: Simplify (+ 0 f) into f 5.048 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 5.049 * [backup-simplify]: Simplify (+ 1 0) into 1 5.049 * [backup-simplify]: Simplify (/ -1 1) into -1 5.049 * [taylor]: Taking taylor expansion of (/ -1 (- (/ f (+ n f)) (/ n (+ n f)))) in f 5.049 * [taylor]: Taking taylor expansion of -1 in f 5.049 * [backup-simplify]: Simplify -1 into -1 5.049 * [taylor]: Taking taylor expansion of (- (/ f (+ n f)) (/ n (+ n f))) in f 5.049 * [taylor]: Taking taylor expansion of (/ f (+ n f)) in f 5.049 * [taylor]: Taking taylor expansion of f in f 5.049 * [backup-simplify]: Simplify 0 into 0 5.049 * [backup-simplify]: Simplify 1 into 1 5.049 * [taylor]: Taking taylor expansion of (+ n f) in f 5.049 * [taylor]: Taking taylor expansion of n in f 5.049 * [backup-simplify]: Simplify n into n 5.049 * [taylor]: Taking taylor expansion of f in f 5.049 * [backup-simplify]: Simplify 0 into 0 5.049 * [backup-simplify]: Simplify 1 into 1 5.049 * [backup-simplify]: Simplify (+ n 0) into n 5.049 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 5.049 * [taylor]: Taking taylor expansion of (/ n (+ n f)) in f 5.049 * [taylor]: Taking taylor expansion of n in f 5.049 * [backup-simplify]: Simplify n into n 5.049 * [taylor]: Taking taylor expansion of (+ n f) in f 5.049 * [taylor]: Taking taylor expansion of n in f 5.049 * [backup-simplify]: Simplify n into n 5.049 * [taylor]: Taking taylor expansion of f in f 5.049 * [backup-simplify]: Simplify 0 into 0 5.049 * [backup-simplify]: Simplify 1 into 1 5.049 * [backup-simplify]: Simplify (+ n 0) into n 5.049 * [backup-simplify]: Simplify (/ n n) into 1 5.050 * [backup-simplify]: Simplify (- 1) into -1 5.050 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.050 * [backup-simplify]: Simplify (/ -1 -1) into 1 5.050 * [taylor]: Taking taylor expansion of (/ -1 (- (/ f (+ n f)) (/ n (+ n f)))) in f 5.050 * [taylor]: Taking taylor expansion of -1 in f 5.050 * [backup-simplify]: Simplify -1 into -1 5.050 * [taylor]: Taking taylor expansion of (- (/ f (+ n f)) (/ n (+ n f))) in f 5.050 * [taylor]: Taking taylor expansion of (/ f (+ n f)) in f 5.050 * [taylor]: Taking taylor expansion of f in f 5.050 * [backup-simplify]: Simplify 0 into 0 5.050 * [backup-simplify]: Simplify 1 into 1 5.050 * [taylor]: Taking taylor expansion of (+ n f) in f 5.050 * [taylor]: Taking taylor expansion of n in f 5.050 * [backup-simplify]: Simplify n into n 5.050 * [taylor]: Taking taylor expansion of f in f 5.050 * [backup-simplify]: Simplify 0 into 0 5.050 * [backup-simplify]: Simplify 1 into 1 5.050 * [backup-simplify]: Simplify (+ n 0) into n 5.050 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 5.050 * [taylor]: Taking taylor expansion of (/ n (+ n f)) in f 5.050 * [taylor]: Taking taylor expansion of n in f 5.050 * [backup-simplify]: Simplify n into n 5.050 * [taylor]: Taking taylor expansion of (+ n f) in f 5.050 * [taylor]: Taking taylor expansion of n in f 5.051 * [backup-simplify]: Simplify n into n 5.051 * [taylor]: Taking taylor expansion of f in f 5.051 * [backup-simplify]: Simplify 0 into 0 5.051 * [backup-simplify]: Simplify 1 into 1 5.051 * [backup-simplify]: Simplify (+ n 0) into n 5.051 * [backup-simplify]: Simplify (/ n n) into 1 5.051 * [backup-simplify]: Simplify (- 1) into -1 5.051 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.051 * [backup-simplify]: Simplify (/ -1 -1) into 1 5.051 * [taylor]: Taking taylor expansion of 1 in n 5.052 * [backup-simplify]: Simplify 1 into 1 5.052 * [backup-simplify]: Simplify 1 into 1 5.052 * [backup-simplify]: Simplify (+ 0 1) into 1 5.052 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* 1 (/ 1 n)))) into (- (/ 1 n)) 5.052 * [backup-simplify]: Simplify (- (- (/ 1 n))) into (/ 1 n) 5.052 * [backup-simplify]: Simplify (+ (/ 1 n) (/ 1 n)) into (* 2 (/ 1 n)) 5.052 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* 1 (/ (* 2 (/ 1 n)) -1)))) into (* 2 (/ 1 n)) 5.052 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 5.052 * [taylor]: Taking taylor expansion of 2 in n 5.052 * [backup-simplify]: Simplify 2 into 2 5.052 * [taylor]: Taking taylor expansion of (/ 1 n) in n 5.052 * [taylor]: Taking taylor expansion of n in n 5.052 * [backup-simplify]: Simplify 0 into 0 5.052 * [backup-simplify]: Simplify 1 into 1 5.053 * [backup-simplify]: Simplify (/ 1 1) into 1 5.053 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.054 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 5.054 * [backup-simplify]: Simplify 0 into 0 5.054 * [backup-simplify]: Simplify 0 into 0 5.058 * [backup-simplify]: Simplify (+ 0 1) into 1 5.058 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* (/ 1 n) (/ 1 n)))) into (- (/ 1 (pow n 2))) 5.059 * [backup-simplify]: Simplify (+ 0 0) into 0 5.059 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* 1 (/ 0 n)) (* (- (/ 1 n)) (/ 1 n)))) into (/ 1 (pow n 2)) 5.059 * [backup-simplify]: Simplify (- (/ 1 (pow n 2))) into (- (/ 1 (pow n 2))) 5.059 * [backup-simplify]: Simplify (+ (- (/ 1 (pow n 2))) (- (/ 1 (pow n 2)))) into (- (* 2 (/ 1 (pow n 2)))) 5.059 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* 1 (/ (- (* 2 (/ 1 (pow n 2)))) -1)) (* (* 2 (/ 1 n)) (/ (* 2 (/ 1 n)) -1)))) into (* 2 (/ 1 (pow n 2))) 5.059 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 5.060 * [taylor]: Taking taylor expansion of 2 in n 5.060 * [backup-simplify]: Simplify 2 into 2 5.060 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 5.060 * [taylor]: Taking taylor expansion of (pow n 2) in n 5.060 * [taylor]: Taking taylor expansion of n in n 5.060 * [backup-simplify]: Simplify 0 into 0 5.060 * [backup-simplify]: Simplify 1 into 1 5.060 * [backup-simplify]: Simplify (* 1 1) into 1 5.060 * [backup-simplify]: Simplify (/ 1 1) into 1 5.061 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.061 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.062 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.062 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.063 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 5.063 * [backup-simplify]: Simplify 0 into 0 5.064 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.064 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 5.064 * [backup-simplify]: Simplify 0 into 0 5.064 * [backup-simplify]: Simplify 0 into 0 5.064 * [backup-simplify]: Simplify (+ 0 0) into 0 5.065 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* (/ 1 n) (/ 0 n)) (* (- (/ 1 (pow n 2))) (/ 1 n)))) into (/ 1 (pow n 3)) 5.065 * [backup-simplify]: Simplify (+ 0 0) into 0 5.065 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* 1 (/ 0 n)) (* (- (/ 1 n)) (/ 0 n)) (* (/ 1 (pow n 2)) (/ 1 n)))) into (- (/ 1 (pow n 3))) 5.065 * [backup-simplify]: Simplify (- (- (/ 1 (pow n 3)))) into (/ 1 (pow n 3)) 5.065 * [backup-simplify]: Simplify (+ (/ 1 (pow n 3)) (/ 1 (pow n 3))) into (* 2 (/ 1 (pow n 3))) 5.066 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* 1 (/ (* 2 (/ 1 (pow n 3))) -1)) (* (* 2 (/ 1 n)) (/ (- (* 2 (/ 1 (pow n 2)))) -1)) (* (* 2 (/ 1 (pow n 2))) (/ (* 2 (/ 1 n)) -1)))) into (* 2 (/ 1 (pow n 3))) 5.066 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 5.066 * [taylor]: Taking taylor expansion of 2 in n 5.066 * [backup-simplify]: Simplify 2 into 2 5.066 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 5.066 * [taylor]: Taking taylor expansion of (pow n 3) in n 5.066 * [taylor]: Taking taylor expansion of n in n 5.066 * [backup-simplify]: Simplify 0 into 0 5.066 * [backup-simplify]: Simplify 1 into 1 5.066 * [backup-simplify]: Simplify (* 1 1) into 1 5.067 * [backup-simplify]: Simplify (* 1 1) into 1 5.067 * [backup-simplify]: Simplify (/ 1 1) into 1 5.067 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.068 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.068 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.069 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.069 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.070 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.070 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.071 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.072 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.072 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.072 * [backup-simplify]: Simplify 0 into 0 5.072 * [backup-simplify]: Simplify 1 into 1 5.073 * [backup-simplify]: Simplify (/ -1 (- (/ (/ 1 f) (+ (/ 1 f) (/ 1 n))) (/ (/ 1 n) (+ (/ 1 f) (/ 1 n))))) into (/ -1 (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)))) 5.073 * [approximate]: Taking taylor expansion of (/ -1 (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)))) in (f n) around 0 5.073 * [taylor]: Taking taylor expansion of (/ -1 (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)))) in n 5.073 * [taylor]: Taking taylor expansion of -1 in n 5.073 * [backup-simplify]: Simplify -1 into -1 5.073 * [taylor]: Taking taylor expansion of (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) n))) in n 5.073 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) in n 5.073 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) f) in n 5.073 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 5.073 * [taylor]: Taking taylor expansion of (/ 1 f) in n 5.073 * [taylor]: Taking taylor expansion of f in n 5.073 * [backup-simplify]: Simplify f into f 5.073 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 5.073 * [taylor]: Taking taylor expansion of (/ 1 n) in n 5.073 * [taylor]: Taking taylor expansion of n in n 5.073 * [backup-simplify]: Simplify 0 into 0 5.073 * [backup-simplify]: Simplify 1 into 1 5.074 * [backup-simplify]: Simplify (/ 1 1) into 1 5.074 * [taylor]: Taking taylor expansion of f in n 5.074 * [backup-simplify]: Simplify f into f 5.074 * [backup-simplify]: Simplify (+ 0 1) into 1 5.074 * [backup-simplify]: Simplify (* 1 f) into f 5.074 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 5.074 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) in n 5.074 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) n) in n 5.074 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 5.074 * [taylor]: Taking taylor expansion of (/ 1 f) in n 5.074 * [taylor]: Taking taylor expansion of f in n 5.074 * [backup-simplify]: Simplify f into f 5.074 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 5.074 * [taylor]: Taking taylor expansion of (/ 1 n) in n 5.074 * [taylor]: Taking taylor expansion of n in n 5.074 * [backup-simplify]: Simplify 0 into 0 5.074 * [backup-simplify]: Simplify 1 into 1 5.075 * [backup-simplify]: Simplify (/ 1 1) into 1 5.075 * [taylor]: Taking taylor expansion of n in n 5.075 * [backup-simplify]: Simplify 0 into 0 5.075 * [backup-simplify]: Simplify 1 into 1 5.075 * [backup-simplify]: Simplify (+ 0 1) into 1 5.075 * [backup-simplify]: Simplify (* 1 0) into 0 5.076 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.076 * [backup-simplify]: Simplify (+ (/ 1 f) 0) into (/ 1 f) 5.076 * [backup-simplify]: Simplify (+ (* 1 1) (* (/ 1 f) 0)) into 1 5.076 * [backup-simplify]: Simplify (/ 1 1) into 1 5.077 * [backup-simplify]: Simplify (- 1) into -1 5.077 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.077 * [backup-simplify]: Simplify (/ -1 -1) into 1 5.077 * [taylor]: Taking taylor expansion of (/ -1 (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)))) in f 5.077 * [taylor]: Taking taylor expansion of -1 in f 5.077 * [backup-simplify]: Simplify -1 into -1 5.077 * [taylor]: Taking taylor expansion of (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) n))) in f 5.077 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) in f 5.077 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) f) in f 5.077 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 5.077 * [taylor]: Taking taylor expansion of (/ 1 f) in f 5.077 * [taylor]: Taking taylor expansion of f in f 5.077 * [backup-simplify]: Simplify 0 into 0 5.077 * [backup-simplify]: Simplify 1 into 1 5.078 * [backup-simplify]: Simplify (/ 1 1) into 1 5.078 * [taylor]: Taking taylor expansion of (/ 1 n) in f 5.078 * [taylor]: Taking taylor expansion of n in f 5.078 * [backup-simplify]: Simplify n into n 5.078 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 5.078 * [taylor]: Taking taylor expansion of f in f 5.078 * [backup-simplify]: Simplify 0 into 0 5.078 * [backup-simplify]: Simplify 1 into 1 5.078 * [backup-simplify]: Simplify (+ 1 0) into 1 5.078 * [backup-simplify]: Simplify (* 1 0) into 0 5.079 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.079 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 5.079 * [backup-simplify]: Simplify (+ (* 1 1) (* (/ 1 n) 0)) into 1 5.080 * [backup-simplify]: Simplify (/ 1 1) into 1 5.080 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) in f 5.080 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) n) in f 5.080 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 5.080 * [taylor]: Taking taylor expansion of (/ 1 f) in f 5.080 * [taylor]: Taking taylor expansion of f in f 5.080 * [backup-simplify]: Simplify 0 into 0 5.080 * [backup-simplify]: Simplify 1 into 1 5.080 * [backup-simplify]: Simplify (/ 1 1) into 1 5.080 * [taylor]: Taking taylor expansion of (/ 1 n) in f 5.080 * [taylor]: Taking taylor expansion of n in f 5.080 * [backup-simplify]: Simplify n into n 5.080 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 5.080 * [taylor]: Taking taylor expansion of n in f 5.080 * [backup-simplify]: Simplify n into n 5.080 * [backup-simplify]: Simplify (+ 1 0) into 1 5.080 * [backup-simplify]: Simplify (* 1 n) into n 5.080 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 5.081 * [backup-simplify]: Simplify (+ 1 0) into 1 5.081 * [backup-simplify]: Simplify (/ -1 1) into -1 5.081 * [taylor]: Taking taylor expansion of (/ -1 (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)))) in f 5.081 * [taylor]: Taking taylor expansion of -1 in f 5.081 * [backup-simplify]: Simplify -1 into -1 5.081 * [taylor]: Taking taylor expansion of (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) n))) in f 5.081 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) in f 5.081 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) f) in f 5.081 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 5.081 * [taylor]: Taking taylor expansion of (/ 1 f) in f 5.081 * [taylor]: Taking taylor expansion of f in f 5.081 * [backup-simplify]: Simplify 0 into 0 5.081 * [backup-simplify]: Simplify 1 into 1 5.081 * [backup-simplify]: Simplify (/ 1 1) into 1 5.081 * [taylor]: Taking taylor expansion of (/ 1 n) in f 5.081 * [taylor]: Taking taylor expansion of n in f 5.081 * [backup-simplify]: Simplify n into n 5.081 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 5.081 * [taylor]: Taking taylor expansion of f in f 5.081 * [backup-simplify]: Simplify 0 into 0 5.081 * [backup-simplify]: Simplify 1 into 1 5.082 * [backup-simplify]: Simplify (+ 1 0) into 1 5.082 * [backup-simplify]: Simplify (* 1 0) into 0 5.082 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.082 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 5.083 * [backup-simplify]: Simplify (+ (* 1 1) (* (/ 1 n) 0)) into 1 5.083 * [backup-simplify]: Simplify (/ 1 1) into 1 5.083 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) in f 5.083 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) n) in f 5.083 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 5.083 * [taylor]: Taking taylor expansion of (/ 1 f) in f 5.083 * [taylor]: Taking taylor expansion of f in f 5.083 * [backup-simplify]: Simplify 0 into 0 5.083 * [backup-simplify]: Simplify 1 into 1 5.083 * [backup-simplify]: Simplify (/ 1 1) into 1 5.083 * [taylor]: Taking taylor expansion of (/ 1 n) in f 5.083 * [taylor]: Taking taylor expansion of n in f 5.083 * [backup-simplify]: Simplify n into n 5.083 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 5.083 * [taylor]: Taking taylor expansion of n in f 5.083 * [backup-simplify]: Simplify n into n 5.084 * [backup-simplify]: Simplify (+ 1 0) into 1 5.084 * [backup-simplify]: Simplify (* 1 n) into n 5.084 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 5.084 * [backup-simplify]: Simplify (+ 1 0) into 1 5.084 * [backup-simplify]: Simplify (/ -1 1) into -1 5.084 * [taylor]: Taking taylor expansion of -1 in n 5.084 * [backup-simplify]: Simplify -1 into -1 5.084 * [backup-simplify]: Simplify -1 into -1 5.085 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.085 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 5.085 * [backup-simplify]: Simplify (+ 0 0) into 0 5.086 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 n) 1) (* 0 0))) into (/ 1 n) 5.086 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 n) 1)))) into (- (/ 1 n)) 5.086 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 5.086 * [backup-simplify]: Simplify (+ (- (/ 1 n)) (- (/ 1 n))) into (- (* 2 (/ 1 n))) 5.086 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ (- (* 2 (/ 1 n))) 1)))) into (- (* 2 (/ 1 n))) 5.086 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 5.086 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 5.086 * [taylor]: Taking taylor expansion of 2 in n 5.086 * [backup-simplify]: Simplify 2 into 2 5.086 * [taylor]: Taking taylor expansion of (/ 1 n) in n 5.086 * [taylor]: Taking taylor expansion of n in n 5.086 * [backup-simplify]: Simplify 0 into 0 5.086 * [backup-simplify]: Simplify 1 into 1 5.087 * [backup-simplify]: Simplify (/ 1 1) into 1 5.088 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.089 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 5.089 * [backup-simplify]: Simplify (- 0) into 0 5.089 * [backup-simplify]: Simplify 0 into 0 5.089 * [backup-simplify]: Simplify 0 into 0 5.090 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.090 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 5.090 * [backup-simplify]: Simplify (+ 0 0) into 0 5.091 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 n) 0) (+ (* 0 1) (* 0 0)))) into 0 5.092 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (- (/ 1 n)) (/ (/ 1 n) 1)))) into (/ 1 (pow n 2)) 5.093 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.093 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 5.093 * [backup-simplify]: Simplify (+ (* 1 0) (* (/ 1 n) n)) into 1 5.094 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 1 n)))) into (- (/ 1 (pow n 2))) 5.094 * [backup-simplify]: Simplify (- (- (/ 1 (pow n 2)))) into (/ 1 (pow n 2)) 5.094 * [backup-simplify]: Simplify (+ (/ 1 (pow n 2)) (/ 1 (pow n 2))) into (* 2 (/ 1 (pow n 2))) 5.095 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ (* 2 (/ 1 (pow n 2))) 1)) (* (- (* 2 (/ 1 n))) (/ (- (* 2 (/ 1 n))) 1)))) into (- (* 2 (/ 1 (pow n 2)))) 5.095 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 5.095 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 5.095 * [taylor]: Taking taylor expansion of 2 in n 5.095 * [backup-simplify]: Simplify 2 into 2 5.095 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 5.095 * [taylor]: Taking taylor expansion of (pow n 2) in n 5.095 * [taylor]: Taking taylor expansion of n in n 5.095 * [backup-simplify]: Simplify 0 into 0 5.095 * [backup-simplify]: Simplify 1 into 1 5.096 * [backup-simplify]: Simplify (* 1 1) into 1 5.096 * [backup-simplify]: Simplify (/ 1 1) into 1 5.097 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.098 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.098 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.100 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.101 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 5.101 * [backup-simplify]: Simplify (- 0) into 0 5.101 * [backup-simplify]: Simplify 0 into 0 5.102 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.103 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 5.104 * [backup-simplify]: Simplify (- 0) into 0 5.104 * [backup-simplify]: Simplify 0 into 0 5.104 * [backup-simplify]: Simplify 0 into 0 5.105 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.105 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)))) into 0 5.105 * [backup-simplify]: Simplify (+ 0 0) into 0 5.107 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 n) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 5.108 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (- (/ 1 n)) (/ 0 1)) (* (/ 1 (pow n 2)) (/ (/ 1 n) 1)))) into (- (/ 1 (pow n 3))) 5.109 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.109 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 5.109 * [backup-simplify]: Simplify (+ 0 0) into 0 5.110 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 n) 0) (* 0 n))) into 0 5.110 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* (- (/ 1 (pow n 2))) (/ 1 n)))) into (/ 1 (pow n 3)) 5.110 * [backup-simplify]: Simplify (- (/ 1 (pow n 3))) into (- (/ 1 (pow n 3))) 5.110 * [backup-simplify]: Simplify (+ (- (/ 1 (pow n 3))) (- (/ 1 (pow n 3)))) into (- (* 2 (/ 1 (pow n 3)))) 5.111 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ (- (* 2 (/ 1 (pow n 3)))) 1)) (* (- (* 2 (/ 1 n))) (/ (* 2 (/ 1 (pow n 2))) 1)) (* (- (* 2 (/ 1 (pow n 2)))) (/ (- (* 2 (/ 1 n))) 1)))) into (- (* 2 (/ 1 (pow n 3)))) 5.112 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 5.112 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 5.112 * [taylor]: Taking taylor expansion of 2 in n 5.112 * [backup-simplify]: Simplify 2 into 2 5.112 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 5.112 * [taylor]: Taking taylor expansion of (pow n 3) in n 5.112 * [taylor]: Taking taylor expansion of n in n 5.112 * [backup-simplify]: Simplify 0 into 0 5.112 * [backup-simplify]: Simplify 1 into 1 5.112 * [backup-simplify]: Simplify (* 1 1) into 1 5.112 * [backup-simplify]: Simplify (* 1 1) into 1 5.113 * [backup-simplify]: Simplify (/ 1 1) into 1 5.114 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.115 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.116 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.117 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.117 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.118 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.119 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.120 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.121 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.122 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.123 * [backup-simplify]: Simplify (- 0) into 0 5.123 * [backup-simplify]: Simplify 0 into 0 5.123 * [backup-simplify]: Simplify -1 into -1 5.123 * [backup-simplify]: Simplify (/ -1 (- (/ (/ 1 (- f)) (+ (/ 1 (- f)) (/ 1 (- n)))) (/ (/ 1 (- n)) (+ (/ 1 (- f)) (/ 1 (- n)))))) into (/ -1 (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)))) 5.123 * [approximate]: Taking taylor expansion of (/ -1 (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)))) in (f n) around 0 5.123 * [taylor]: Taking taylor expansion of (/ -1 (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)))) in n 5.123 * [taylor]: Taking taylor expansion of -1 in n 5.123 * [backup-simplify]: Simplify -1 into -1 5.123 * [taylor]: Taking taylor expansion of (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) n))) in n 5.123 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) in n 5.124 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) f) in n 5.124 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 5.124 * [taylor]: Taking taylor expansion of (/ 1 f) in n 5.124 * [taylor]: Taking taylor expansion of f in n 5.124 * [backup-simplify]: Simplify f into f 5.124 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 5.124 * [taylor]: Taking taylor expansion of (/ 1 n) in n 5.124 * [taylor]: Taking taylor expansion of n in n 5.124 * [backup-simplify]: Simplify 0 into 0 5.124 * [backup-simplify]: Simplify 1 into 1 5.124 * [backup-simplify]: Simplify (/ 1 1) into 1 5.124 * [taylor]: Taking taylor expansion of f in n 5.124 * [backup-simplify]: Simplify f into f 5.125 * [backup-simplify]: Simplify (+ 0 1) into 1 5.125 * [backup-simplify]: Simplify (* 1 f) into f 5.125 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 5.125 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) in n 5.125 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) n) in n 5.125 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 5.125 * [taylor]: Taking taylor expansion of (/ 1 f) in n 5.125 * [taylor]: Taking taylor expansion of f in n 5.125 * [backup-simplify]: Simplify f into f 5.125 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 5.125 * [taylor]: Taking taylor expansion of (/ 1 n) in n 5.125 * [taylor]: Taking taylor expansion of n in n 5.125 * [backup-simplify]: Simplify 0 into 0 5.125 * [backup-simplify]: Simplify 1 into 1 5.126 * [backup-simplify]: Simplify (/ 1 1) into 1 5.126 * [taylor]: Taking taylor expansion of n in n 5.126 * [backup-simplify]: Simplify 0 into 0 5.126 * [backup-simplify]: Simplify 1 into 1 5.126 * [backup-simplify]: Simplify (+ 0 1) into 1 5.127 * [backup-simplify]: Simplify (* 1 0) into 0 5.127 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.127 * [backup-simplify]: Simplify (+ (/ 1 f) 0) into (/ 1 f) 5.128 * [backup-simplify]: Simplify (+ (* 1 1) (* (/ 1 f) 0)) into 1 5.128 * [backup-simplify]: Simplify (/ 1 1) into 1 5.129 * [backup-simplify]: Simplify (- 1) into -1 5.129 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.129 * [backup-simplify]: Simplify (/ -1 -1) into 1 5.129 * [taylor]: Taking taylor expansion of (/ -1 (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)))) in f 5.130 * [taylor]: Taking taylor expansion of -1 in f 5.130 * [backup-simplify]: Simplify -1 into -1 5.130 * [taylor]: Taking taylor expansion of (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) n))) in f 5.130 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) in f 5.130 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) f) in f 5.130 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 5.130 * [taylor]: Taking taylor expansion of (/ 1 f) in f 5.130 * [taylor]: Taking taylor expansion of f in f 5.130 * [backup-simplify]: Simplify 0 into 0 5.130 * [backup-simplify]: Simplify 1 into 1 5.130 * [backup-simplify]: Simplify (/ 1 1) into 1 5.130 * [taylor]: Taking taylor expansion of (/ 1 n) in f 5.130 * [taylor]: Taking taylor expansion of n in f 5.130 * [backup-simplify]: Simplify n into n 5.130 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 5.130 * [taylor]: Taking taylor expansion of f in f 5.130 * [backup-simplify]: Simplify 0 into 0 5.130 * [backup-simplify]: Simplify 1 into 1 5.131 * [backup-simplify]: Simplify (+ 1 0) into 1 5.131 * [backup-simplify]: Simplify (* 1 0) into 0 5.132 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.132 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 5.133 * [backup-simplify]: Simplify (+ (* 1 1) (* (/ 1 n) 0)) into 1 5.133 * [backup-simplify]: Simplify (/ 1 1) into 1 5.133 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) in f 5.133 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) n) in f 5.133 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 5.133 * [taylor]: Taking taylor expansion of (/ 1 f) in f 5.133 * [taylor]: Taking taylor expansion of f in f 5.133 * [backup-simplify]: Simplify 0 into 0 5.133 * [backup-simplify]: Simplify 1 into 1 5.134 * [backup-simplify]: Simplify (/ 1 1) into 1 5.134 * [taylor]: Taking taylor expansion of (/ 1 n) in f 5.134 * [taylor]: Taking taylor expansion of n in f 5.134 * [backup-simplify]: Simplify n into n 5.134 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 5.134 * [taylor]: Taking taylor expansion of n in f 5.134 * [backup-simplify]: Simplify n into n 5.134 * [backup-simplify]: Simplify (+ 1 0) into 1 5.134 * [backup-simplify]: Simplify (* 1 n) into n 5.134 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 5.135 * [backup-simplify]: Simplify (+ 1 0) into 1 5.135 * [backup-simplify]: Simplify (/ -1 1) into -1 5.135 * [taylor]: Taking taylor expansion of (/ -1 (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)))) in f 5.135 * [taylor]: Taking taylor expansion of -1 in f 5.135 * [backup-simplify]: Simplify -1 into -1 5.135 * [taylor]: Taking taylor expansion of (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) n))) in f 5.135 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) in f 5.135 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) f) in f 5.135 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 5.136 * [taylor]: Taking taylor expansion of (/ 1 f) in f 5.136 * [taylor]: Taking taylor expansion of f in f 5.136 * [backup-simplify]: Simplify 0 into 0 5.136 * [backup-simplify]: Simplify 1 into 1 5.136 * [backup-simplify]: Simplify (/ 1 1) into 1 5.136 * [taylor]: Taking taylor expansion of (/ 1 n) in f 5.136 * [taylor]: Taking taylor expansion of n in f 5.136 * [backup-simplify]: Simplify n into n 5.136 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 5.136 * [taylor]: Taking taylor expansion of f in f 5.136 * [backup-simplify]: Simplify 0 into 0 5.136 * [backup-simplify]: Simplify 1 into 1 5.137 * [backup-simplify]: Simplify (+ 1 0) into 1 5.137 * [backup-simplify]: Simplify (* 1 0) into 0 5.138 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.138 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 5.138 * [backup-simplify]: Simplify (+ (* 1 1) (* (/ 1 n) 0)) into 1 5.139 * [backup-simplify]: Simplify (/ 1 1) into 1 5.139 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) in f 5.139 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) n) in f 5.139 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 5.139 * [taylor]: Taking taylor expansion of (/ 1 f) in f 5.139 * [taylor]: Taking taylor expansion of f in f 5.139 * [backup-simplify]: Simplify 0 into 0 5.139 * [backup-simplify]: Simplify 1 into 1 5.139 * [backup-simplify]: Simplify (/ 1 1) into 1 5.139 * [taylor]: Taking taylor expansion of (/ 1 n) in f 5.139 * [taylor]: Taking taylor expansion of n in f 5.139 * [backup-simplify]: Simplify n into n 5.140 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 5.140 * [taylor]: Taking taylor expansion of n in f 5.140 * [backup-simplify]: Simplify n into n 5.140 * [backup-simplify]: Simplify (+ 1 0) into 1 5.140 * [backup-simplify]: Simplify (* 1 n) into n 5.140 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 5.141 * [backup-simplify]: Simplify (+ 1 0) into 1 5.141 * [backup-simplify]: Simplify (/ -1 1) into -1 5.141 * [taylor]: Taking taylor expansion of -1 in n 5.141 * [backup-simplify]: Simplify -1 into -1 5.141 * [backup-simplify]: Simplify -1 into -1 5.142 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.142 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 5.143 * [backup-simplify]: Simplify (+ 0 0) into 0 5.144 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 n) 1) (* 0 0))) into (/ 1 n) 5.144 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 n) 1)))) into (- (/ 1 n)) 5.144 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 5.144 * [backup-simplify]: Simplify (+ (- (/ 1 n)) (- (/ 1 n))) into (- (* 2 (/ 1 n))) 5.145 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ (- (* 2 (/ 1 n))) 1)))) into (- (* 2 (/ 1 n))) 5.145 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 5.145 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 5.145 * [taylor]: Taking taylor expansion of 2 in n 5.145 * [backup-simplify]: Simplify 2 into 2 5.145 * [taylor]: Taking taylor expansion of (/ 1 n) in n 5.145 * [taylor]: Taking taylor expansion of n in n 5.145 * [backup-simplify]: Simplify 0 into 0 5.145 * [backup-simplify]: Simplify 1 into 1 5.145 * [backup-simplify]: Simplify (/ 1 1) into 1 5.146 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.147 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 5.147 * [backup-simplify]: Simplify (- 0) into 0 5.147 * [backup-simplify]: Simplify 0 into 0 5.147 * [backup-simplify]: Simplify 0 into 0 5.148 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.148 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 5.149 * [backup-simplify]: Simplify (+ 0 0) into 0 5.150 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 n) 0) (+ (* 0 1) (* 0 0)))) into 0 5.151 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (- (/ 1 n)) (/ (/ 1 n) 1)))) into (/ 1 (pow n 2)) 5.151 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.151 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 5.152 * [backup-simplify]: Simplify (+ (* 1 0) (* (/ 1 n) n)) into 1 5.152 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 1 n)))) into (- (/ 1 (pow n 2))) 5.152 * [backup-simplify]: Simplify (- (- (/ 1 (pow n 2)))) into (/ 1 (pow n 2)) 5.152 * [backup-simplify]: Simplify (+ (/ 1 (pow n 2)) (/ 1 (pow n 2))) into (* 2 (/ 1 (pow n 2))) 5.153 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ (* 2 (/ 1 (pow n 2))) 1)) (* (- (* 2 (/ 1 n))) (/ (- (* 2 (/ 1 n))) 1)))) into (- (* 2 (/ 1 (pow n 2)))) 5.153 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 5.153 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 5.153 * [taylor]: Taking taylor expansion of 2 in n 5.153 * [backup-simplify]: Simplify 2 into 2 5.153 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 5.153 * [taylor]: Taking taylor expansion of (pow n 2) in n 5.154 * [taylor]: Taking taylor expansion of n in n 5.154 * [backup-simplify]: Simplify 0 into 0 5.154 * [backup-simplify]: Simplify 1 into 1 5.154 * [backup-simplify]: Simplify (* 1 1) into 1 5.154 * [backup-simplify]: Simplify (/ 1 1) into 1 5.155 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.156 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.157 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.158 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.159 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 5.160 * [backup-simplify]: Simplify (- 0) into 0 5.160 * [backup-simplify]: Simplify 0 into 0 5.160 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.162 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 5.162 * [backup-simplify]: Simplify (- 0) into 0 5.162 * [backup-simplify]: Simplify 0 into 0 5.162 * [backup-simplify]: Simplify 0 into 0 5.163 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.163 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)))) into 0 5.164 * [backup-simplify]: Simplify (+ 0 0) into 0 5.165 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 n) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 5.166 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (- (/ 1 n)) (/ 0 1)) (* (/ 1 (pow n 2)) (/ (/ 1 n) 1)))) into (- (/ 1 (pow n 3))) 5.167 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.167 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 5.168 * [backup-simplify]: Simplify (+ 0 0) into 0 5.168 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 n) 0) (* 0 n))) into 0 5.169 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* (- (/ 1 (pow n 2))) (/ 1 n)))) into (/ 1 (pow n 3)) 5.169 * [backup-simplify]: Simplify (- (/ 1 (pow n 3))) into (- (/ 1 (pow n 3))) 5.169 * [backup-simplify]: Simplify (+ (- (/ 1 (pow n 3))) (- (/ 1 (pow n 3)))) into (- (* 2 (/ 1 (pow n 3)))) 5.170 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ (- (* 2 (/ 1 (pow n 3)))) 1)) (* (- (* 2 (/ 1 n))) (/ (* 2 (/ 1 (pow n 2))) 1)) (* (- (* 2 (/ 1 (pow n 2)))) (/ (- (* 2 (/ 1 n))) 1)))) into (- (* 2 (/ 1 (pow n 3)))) 5.170 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 5.170 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 5.170 * [taylor]: Taking taylor expansion of 2 in n 5.170 * [backup-simplify]: Simplify 2 into 2 5.170 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 5.170 * [taylor]: Taking taylor expansion of (pow n 3) in n 5.170 * [taylor]: Taking taylor expansion of n in n 5.170 * [backup-simplify]: Simplify 0 into 0 5.170 * [backup-simplify]: Simplify 1 into 1 5.171 * [backup-simplify]: Simplify (* 1 1) into 1 5.171 * [backup-simplify]: Simplify (* 1 1) into 1 5.172 * [backup-simplify]: Simplify (/ 1 1) into 1 5.173 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.174 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.174 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.175 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.176 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.177 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.178 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.179 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.180 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.181 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.181 * [backup-simplify]: Simplify (- 0) into 0 5.181 * [backup-simplify]: Simplify 0 into 0 5.181 * [backup-simplify]: Simplify -1 into -1 5.181 * * * [progress]: simplifying candidates 5.181 * * * * [progress]: [ 1 / 197 ] simplifiying candidate # 5.182 * * * * [progress]: [ 2 / 197 ] simplifiying candidate # 5.182 * * * * [progress]: [ 3 / 197 ] simplifiying candidate # 5.182 * * * * [progress]: [ 4 / 197 ] simplifiying candidate # 5.182 * * * * [progress]: [ 5 / 197 ] simplifiying candidate # 5.182 * * * * [progress]: [ 6 / 197 ] simplifiying candidate # 5.182 * * * * [progress]: [ 7 / 197 ] simplifiying candidate # 5.182 * * * * [progress]: [ 8 / 197 ] simplifiying candidate # 5.182 * * * * [progress]: [ 9 / 197 ] simplifiying candidate # 5.182 * * * * [progress]: [ 10 / 197 ] simplifiying candidate # 5.182 * * * * [progress]: [ 11 / 197 ] simplifiying candidate # 5.182 * * * * [progress]: [ 12 / 197 ] simplifiying candidate # 5.182 * * * * [progress]: [ 13 / 197 ] simplifiying candidate # 5.182 * * * * [progress]: 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#real (real->posit16 (- (/ f (+ f n)) (/ n (+ f n)))))))> 5.183 * * * * [progress]: [ 30 / 197 ] simplifiying candidate # 5.184 * * * * [progress]: [ 31 / 197 ] simplifiying candidate # 5.184 * * * * [progress]: [ 32 / 197 ] simplifiying candidate # 5.184 * * * * [progress]: [ 33 / 197 ] simplifiying candidate # 5.184 * * * * [progress]: [ 34 / 197 ] simplifiying candidate # 5.184 * * * * [progress]: [ 35 / 197 ] simplifiying candidate # 5.184 * * * * [progress]: [ 36 / 197 ] simplifiying candidate # 5.184 * * * * [progress]: [ 37 / 197 ] simplifiying candidate # 5.184 * * * * [progress]: [ 38 / 197 ] simplifiying candidate # 5.184 * * * * [progress]: [ 39 / 197 ] simplifiying candidate # 5.184 * * * * [progress]: [ 40 / 197 ] simplifiying candidate # 5.184 * * * * [progress]: [ 41 / 197 ] simplifiying candidate # 5.184 * * * * [progress]: [ 42 / 197 ] simplifiying candidate # 5.184 * * * * [progress]: [ 43 / 197 ] simplifiying candidate # 5.184 * * * * [progress]: [ 44 / 197 ] 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candidate # 5.195 * * * * [progress]: [ 197 / 197 ] simplifiying candidate # 5.204 * [simplify]: Simplifying: (/ (exp (/ f (+ f n))) (exp (/ n (+ f n)))) (log (- (/ f (+ f n)) (/ n (+ f n)))) (exp (- (/ f (+ f n)) (/ n (+ f n)))) (* (cbrt (- (/ f (+ f n)) (/ n (+ f n)))) (cbrt (- (/ f (+ f n)) (/ n (+ f n))))) (cbrt (- (/ f (+ f n)) (/ n (+ f n)))) (* (* (- (/ f (+ f n)) (/ n (+ f n))) (- (/ f (+ f n)) (/ n (+ f n)))) (- (/ f (+ f n)) (/ n (+ f n)))) (sqrt (- (/ f (+ f n)) (/ n (+ f n)))) (sqrt (- (/ f (+ f n)) (/ n (+ f n)))) (- f n) (- (* f (+ f n)) (* (+ f n) n)) (* (+ f n) (+ f n)) (- (pow (/ f (+ f n)) 3) (pow (/ n (+ f n)) 3)) (+ (* (/ f (+ f n)) (/ f (+ f n))) (+ (* (/ n (+ f n)) (/ n (+ f n))) (* (/ f (+ f n)) (/ n (+ f n))))) (- (/ n (+ f n))) (- (* (/ f (+ f n)) (/ f (+ f n))) (* (/ n (+ f n)) (/ n (+ f n)))) (+ (/ f (+ f n)) (/ n (+ f n))) (+ (sqrt (/ f (+ f n))) (sqrt (/ n (+ f n)))) (- (sqrt (/ f (+ f n))) (sqrt (/ n (+ f n)))) (+ (sqrt (/ f (+ f n))) (/ (sqrt n) (sqrt (+ f n)))) (- (sqrt (/ f (+ f n))) (/ (sqrt n) (sqrt (+ f n)))) (+ (/ (sqrt f) (sqrt (+ f n))) (sqrt (/ n (+ f n)))) (- (/ (sqrt f) (sqrt (+ f n))) (sqrt (/ n (+ f n)))) (+ (/ (sqrt f) (sqrt (+ f n))) (/ (sqrt n) (sqrt (+ f n)))) (- (/ (sqrt f) (sqrt (+ f n))) (/ (sqrt n) (sqrt (+ f n)))) (- (/ f (cbrt (+ f n))) (/ n (cbrt (+ f n)))) (- (/ f (sqrt (+ f n))) (/ n (sqrt (+ f n)))) (- (/ f (+ f n)) (/ n (+ f n))) (- (/ f (+ f n)) (/ n (+ f n))) (- (/ f (+ f n)) (/ n (+ f n))) (- (/ f (+ f n)) (/ n (+ f n))) (- (/ f (+ f n)) (/ n (+ f n))) (- f n) (- (/ f (+ (pow f 3) (pow n 3))) (/ n (+ (pow f 3) (pow n 3)))) (- (/ f (- (* f f) (* n n))) (/ n (- (* f f) (* n n)))) (- (/ n (+ f n))) (real->posit16 (- (/ f (+ f n)) (/ n (+ f n)))) (- (log f) (log (+ f n))) (log (/ f (+ f n))) (exp (/ f (+ f n))) (/ (* (* f f) f) (* (* (+ f n) (+ f n)) (+ f n))) (* (cbrt (/ f (+ f n))) (cbrt (/ f (+ f n)))) (cbrt (/ f (+ f n))) (* (* (/ f (+ f n)) (/ f (+ f n))) (/ f (+ f n))) (sqrt (/ f (+ f n))) (sqrt (/ f (+ f n))) (- f) (- (+ f n)) (/ (* (cbrt f) (cbrt f)) (* (cbrt (+ f n)) (cbrt (+ f n)))) (/ (cbrt f) (cbrt (+ f n))) (/ (* (cbrt f) (cbrt f)) (sqrt (+ f n))) (/ (cbrt f) (sqrt (+ f n))) (/ (* (cbrt f) (cbrt f)) 1) (/ (cbrt f) (+ f n)) (/ (* (cbrt f) (cbrt f)) 1) (/ (cbrt f) (+ f n)) (/ (sqrt f) (* (cbrt (+ f n)) (cbrt (+ f n)))) (/ (sqrt f) (cbrt (+ f n))) (/ (sqrt f) (sqrt (+ f n))) (/ (sqrt f) (sqrt (+ f n))) (/ (sqrt f) 1) (/ (sqrt f) (+ f n)) (/ (sqrt f) 1) (/ (sqrt f) (+ f n)) (/ 1 (* (cbrt (+ f n)) (cbrt (+ f n)))) (/ f (cbrt (+ f n))) (/ 1 (sqrt (+ f n))) (/ f (sqrt (+ f n))) (/ 1 1) (/ f (+ f n)) (/ 1 1) (/ f (+ f n)) (/ 1 (+ f n)) (/ (+ f n) f) (/ f (* (cbrt (+ f n)) (cbrt (+ f n)))) (/ f (sqrt (+ f n))) (/ f 1) (/ f 1) (/ (+ f n) (cbrt f)) (/ (+ f n) (sqrt f)) (/ (+ f n) f) (/ f (+ (pow f 3) (pow n 3))) (/ f (- (* f f) (* n n))) (real->posit16 (/ f (+ f n))) (- (log n) (log (+ f n))) (log (/ n (+ f n))) (exp (/ n (+ f n))) (/ (* (* n n) n) (* (* (+ f n) (+ f n)) (+ f n))) (* (cbrt (/ n (+ f n))) (cbrt (/ n (+ f n)))) (cbrt (/ n (+ f n))) (* (* (/ n (+ f n)) (/ n (+ f n))) (/ n (+ f n))) (sqrt (/ n (+ f n))) (sqrt (/ n (+ f n))) (- n) (- (+ f n)) (/ (* (cbrt n) (cbrt n)) (* (cbrt (+ f n)) (cbrt (+ f n)))) (/ (cbrt n) (cbrt (+ f n))) (/ (* (cbrt n) (cbrt n)) (sqrt (+ f n))) (/ (cbrt n) (sqrt (+ f n))) (/ (* (cbrt n) (cbrt n)) 1) (/ (cbrt n) (+ f n)) (/ (* (cbrt n) (cbrt n)) 1) (/ (cbrt n) (+ f n)) (/ (sqrt n) (* (cbrt (+ f n)) (cbrt (+ f n)))) (/ (sqrt n) (cbrt (+ f n))) (/ (sqrt n) (sqrt (+ f n))) (/ (sqrt n) (sqrt (+ f n))) (/ (sqrt n) 1) (/ (sqrt n) (+ f n)) (/ (sqrt n) 1) (/ (sqrt n) (+ f n)) (/ 1 (* (cbrt (+ f n)) (cbrt (+ f n)))) (/ n (cbrt (+ f n))) (/ 1 (sqrt (+ f n))) (/ n (sqrt (+ f n))) (/ 1 1) (/ n (+ f n)) (/ 1 1) (/ n (+ f n)) (/ 1 (+ f n)) (/ (+ f n) n) (/ n (* (cbrt (+ f n)) (cbrt (+ f n)))) (/ n (sqrt (+ f n))) (/ n 1) (/ n 1) (/ (+ f n) (cbrt n)) (/ (+ f n) (sqrt n)) (/ (+ f n) n) (/ n (+ (pow f 3) (pow n 3))) (/ n (- (* f f) (* n n))) 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6.308 * * [simplify]: Extracting #1: cost 812 inf + 87 6.324 * * [simplify]: Extracting #2: cost 1653 inf + 6309 6.357 * * [simplify]: Extracting #3: cost 990 inf + 114473 6.431 * * [simplify]: Extracting #4: cost 392 inf + 231600 6.521 * * [simplify]: Extracting #5: cost 42 inf + 329474 6.614 * * [simplify]: Extracting #6: cost 0 inf + 341983 6.673 * [simplify]: Simplified to: (exp (- (/ f (+ f n)) (/ n (+ f n)))) (log (- (/ f (+ f n)) (/ n (+ f n)))) (exp (- (/ f (+ f n)) (/ n (+ f n)))) (* (cbrt (- (/ f (+ f n)) (/ n (+ f n)))) (cbrt (- (/ f (+ f n)) (/ n (+ f n))))) (cbrt (- (/ f (+ f n)) (/ n (+ f n)))) (* (* (- (/ f (+ f n)) (/ n (+ f n))) (- (/ f (+ f n)) (/ n (+ f n)))) (- (/ f (+ f n)) (/ n (+ f n)))) (sqrt (- (/ f (+ f n)) (/ n (+ f n)))) (sqrt (- (/ f (+ f n)) (/ n (+ f n)))) (- f n) (- (* (+ f n) f) (* (+ f n) n)) (* (+ f n) (+ f n)) (- (* (/ f (+ f n)) (* (/ f (+ f n)) (/ f (+ f n)))) (* (/ n (+ f n)) (* (/ n (+ f n)) (/ n (+ f n))))) (+ (* (/ f (+ f n)) (/ f (+ f n))) (* 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n))))) (/ -1 (- (/ (sqrt f) (sqrt (+ f n))) (/ (sqrt n) (sqrt (+ f n))))) (* (cbrt (+ f n)) (cbrt (+ f n))) (/ -1 (- (/ f (cbrt (+ f n))) (/ n (cbrt (+ f n))))) (sqrt (+ f n)) (/ -1 (- (/ f (sqrt (+ f n))) (/ n (sqrt (+ f n))))) 1 (/ -1 (- (/ f (+ f n)) (/ n (+ f n)))) 1 (/ -1 (- (/ f (+ f n)) (/ n (+ f n)))) 1 (/ -1 (- (/ f (+ f n)) (/ n (+ f n)))) 1 (/ -1 (- (/ f (+ f n)) (/ n (+ f n)))) 1 (/ -1 (- (/ f (+ f n)) (/ n (+ f n)))) (+ f n) (/ -1 (- f n)) (/ 1 (+ (* f f) (* n (- n f)))) (/ -1 (- (/ f (+ (* (* f f) f) (* n (* n n)))) (/ n (+ (* (* f f) f) (* n (* n n)))))) (/ 1 (- f n)) (/ -1 (- (/ f (* (- f n) (+ f n))) (/ n (* (- f n) (+ f n))))) (/ 1 (- (/ f (+ f n)) (/ n (+ f n)))) (- (/ f (- (+ f n))) (/ n (- (+ f n)))) (/ -1 (* (cbrt (- (/ f (+ f n)) (/ n (+ f n)))) (cbrt (- (/ f (+ f n)) (/ n (+ f n)))))) (/ -1 (sqrt (- (/ f (+ f n)) (/ n (+ f n))))) -1 (/ -1 (+ (sqrt (/ f (+ f n))) (sqrt (/ n (+ f n))))) (/ -1 (+ (sqrt (/ f (+ f n))) (/ (sqrt n) (sqrt (+ f n))))) (/ -1 (+ (sqrt (/ n (+ f n))) (/ (sqrt f) (sqrt (+ f n))))) (/ -1 (+ (/ (sqrt n) (sqrt (+ f n))) (/ (sqrt f) (sqrt (+ f n))))) (- (* (cbrt (+ f n)) (cbrt (+ f n)))) (- (sqrt (+ f n))) -1 -1 -1 -1 -1 (- (+ f n)) (/ -1 (+ (* f f) (* n (- n f)))) (/ -1 (- f n)) (/ (- (/ f (+ f n)) (/ n (+ f n))) (cbrt -1)) (/ (- (/ f (+ f n)) (/ n (+ f n))) (sqrt -1)) (- (/ f (- (+ f n))) (/ n (- (+ f n)))) (/ -1 (- f n)) (/ -1 (- (* (+ f n) f) (* (+ f n) n))) (/ -1 (- (* (/ f (+ f n)) (* (/ f (+ f n)) (/ f (+ f n)))) (* (/ n (+ f n)) (* (/ n (+ f n)) (/ n (+ f n)))))) (/ -1 (- (* (/ f (+ f n)) (/ f (+ f n))) (* (/ n (+ f n)) (/ n (+ f n))))) (real->posit16 (/ -1 (- (/ f (+ f n)) (/ n (+ f n))))) -1 1 1 0 0 0 0 0 0 1 -1 -1 6.696 * * * [progress]: adding candidates to table 7.379 * * [progress]: iteration 4 / 4 7.379 * * * [progress]: picking best candidate 7.390 * * * * [pick]: Picked # 7.390 * * * [progress]: localizing error 7.486 * * * [progress]: generating rewritten candidates 7.486 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2 1) 7.544 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 1 2) 7.577 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 2 2 1) 7.617 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 2 2) 7.657 * * * [progress]: generating series expansions 7.657 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2 1) 7.658 * [backup-simplify]: Simplify (* (/ f (+ f n)) (/ f (+ f n))) into (/ (pow f 2) (pow (+ n f) 2)) 7.658 * [approximate]: Taking taylor expansion of (/ (pow f 2) (pow (+ n f) 2)) in (f n) around 0 7.658 * [taylor]: Taking taylor expansion of (/ (pow f 2) (pow (+ n f) 2)) in n 7.658 * [taylor]: Taking taylor expansion of (pow f 2) in n 7.658 * [taylor]: Taking taylor expansion of f in n 7.658 * [backup-simplify]: Simplify f into f 7.658 * [taylor]: Taking taylor expansion of (pow (+ n f) 2) in n 7.658 * [taylor]: Taking taylor expansion of (+ n f) in n 7.658 * [taylor]: Taking taylor expansion of n in n 7.658 * [backup-simplify]: Simplify 0 into 0 7.658 * [backup-simplify]: Simplify 1 into 1 7.658 * [taylor]: Taking taylor expansion of f in n 7.658 * [backup-simplify]: Simplify f into f 7.658 * [backup-simplify]: Simplify (+ 0 f) into f 7.658 * [backup-simplify]: Simplify (* f f) into (pow f 2) 7.658 * [backup-simplify]: Simplify (* f f) into (pow f 2) 7.658 * [backup-simplify]: Simplify (/ (pow f 2) (pow f 2)) into 1 7.658 * [taylor]: Taking taylor expansion of (/ (pow f 2) (pow (+ n f) 2)) in f 7.658 * [taylor]: Taking taylor expansion of (pow f 2) in f 7.658 * [taylor]: Taking taylor expansion of f in f 7.659 * [backup-simplify]: Simplify 0 into 0 7.659 * [backup-simplify]: Simplify 1 into 1 7.659 * [taylor]: Taking taylor expansion of (pow (+ n f) 2) in f 7.659 * [taylor]: Taking taylor expansion of (+ n f) in f 7.659 * [taylor]: Taking taylor expansion of n in f 7.659 * [backup-simplify]: Simplify n into n 7.659 * [taylor]: Taking taylor expansion of f in f 7.659 * [backup-simplify]: Simplify 0 into 0 7.659 * [backup-simplify]: Simplify 1 into 1 7.659 * [backup-simplify]: Simplify (+ n 0) into n 7.660 * [backup-simplify]: Simplify (* 1 1) into 1 7.660 * [backup-simplify]: Simplify (* n n) into (pow n 2) 7.660 * [backup-simplify]: Simplify (/ 1 (pow n 2)) into (/ 1 (pow n 2)) 7.660 * [taylor]: Taking taylor expansion of (/ (pow f 2) (pow (+ n f) 2)) in f 7.660 * [taylor]: Taking taylor expansion of (pow f 2) in f 7.660 * [taylor]: Taking taylor expansion of f in f 7.660 * [backup-simplify]: Simplify 0 into 0 7.660 * [backup-simplify]: Simplify 1 into 1 7.660 * [taylor]: Taking taylor expansion of (pow (+ n f) 2) in f 7.660 * [taylor]: Taking taylor expansion of (+ n f) in f 7.660 * [taylor]: Taking taylor expansion of n in f 7.660 * [backup-simplify]: Simplify n into n 7.660 * [taylor]: Taking taylor expansion of f in f 7.660 * [backup-simplify]: Simplify 0 into 0 7.660 * [backup-simplify]: Simplify 1 into 1 7.660 * [backup-simplify]: Simplify (+ n 0) into n 7.660 * [backup-simplify]: Simplify (* 1 1) into 1 7.661 * [backup-simplify]: Simplify (* n n) into (pow n 2) 7.661 * [backup-simplify]: Simplify (/ 1 (pow n 2)) into (/ 1 (pow n 2)) 7.661 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 7.661 * [taylor]: Taking taylor expansion of (pow n 2) in n 7.661 * [taylor]: Taking taylor expansion of n in n 7.661 * [backup-simplify]: Simplify 0 into 0 7.661 * [backup-simplify]: Simplify 1 into 1 7.661 * [backup-simplify]: Simplify (* 1 1) into 1 7.662 * [backup-simplify]: Simplify (/ 1 1) into 1 7.663 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.663 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.664 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.665 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.665 * [backup-simplify]: Simplify 0 into 0 7.665 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.666 * [backup-simplify]: Simplify (+ 0 1) into 1 7.666 * [backup-simplify]: Simplify (+ (* n 1) (* 1 n)) into (* 2 n) 7.666 * [backup-simplify]: Simplify (- (/ 0 (pow n 2)) (+ (* (/ 1 (pow n 2)) (/ (* 2 n) (pow n 2))))) into (- (* 2 (/ 1 (pow n 3)))) 7.666 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 7.666 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 7.666 * [taylor]: Taking taylor expansion of 2 in n 7.666 * [backup-simplify]: Simplify 2 into 2 7.666 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 7.666 * [taylor]: Taking taylor expansion of (pow n 3) in n 7.666 * [taylor]: Taking taylor expansion of n in n 7.667 * [backup-simplify]: Simplify 0 into 0 7.667 * [backup-simplify]: Simplify 1 into 1 7.667 * [backup-simplify]: Simplify (* 1 1) into 1 7.667 * [backup-simplify]: Simplify (* 1 1) into 1 7.668 * [backup-simplify]: Simplify (/ 1 1) into 1 7.669 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.670 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.670 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.671 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.672 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.673 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.674 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.675 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.676 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.678 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.678 * [backup-simplify]: Simplify (- 0) into 0 7.678 * [backup-simplify]: Simplify 0 into 0 7.679 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.680 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.680 * [backup-simplify]: Simplify 0 into 0 7.681 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.681 * [backup-simplify]: Simplify (+ 0 0) into 0 7.682 * [backup-simplify]: Simplify (+ (* n 0) (+ (* 1 1) (* 0 n))) into 1 7.682 * [backup-simplify]: Simplify (- (/ 0 (pow n 2)) (+ (* (/ 1 (pow n 2)) (/ 1 (pow n 2))) (* (- (* 2 (/ 1 (pow n 3)))) (/ (* 2 n) (pow n 2))))) into (* 3 (/ 1 (pow n 4))) 7.682 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow n 4))) in n 7.682 * [taylor]: Taking taylor expansion of 3 in n 7.682 * [backup-simplify]: Simplify 3 into 3 7.683 * [taylor]: Taking taylor expansion of (/ 1 (pow n 4)) in n 7.683 * [taylor]: Taking taylor expansion of (pow n 4) in n 7.683 * [taylor]: Taking taylor expansion of n in n 7.683 * [backup-simplify]: Simplify 0 into 0 7.683 * [backup-simplify]: Simplify 1 into 1 7.683 * [backup-simplify]: Simplify (* 1 1) into 1 7.683 * [backup-simplify]: Simplify (* 1 1) into 1 7.684 * [backup-simplify]: Simplify (/ 1 1) into 1 7.685 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 7.686 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.687 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.687 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.689 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 7.689 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.690 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.691 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.691 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.692 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.692 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.693 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.694 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 7.694 * [backup-simplify]: Simplify 0 into 0 7.694 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 7.695 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 7.696 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.696 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 7.697 * [backup-simplify]: Simplify (- 0) into 0 7.697 * [backup-simplify]: Simplify 0 into 0 7.697 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 7.698 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.698 * [backup-simplify]: Simplify 0 into 0 7.698 * [backup-simplify]: Simplify 0 into 0 7.698 * [backup-simplify]: Simplify (* (/ (/ 1 f) (+ (/ 1 f) (/ 1 n))) (/ (/ 1 f) (+ (/ 1 f) (/ 1 n)))) into (/ 1 (* (pow (+ (/ 1 f) (/ 1 n)) 2) (pow f 2))) 7.698 * [approximate]: Taking taylor expansion of (/ 1 (* (pow (+ (/ 1 f) (/ 1 n)) 2) (pow f 2))) in (f n) around 0 7.698 * [taylor]: Taking taylor expansion of (/ 1 (* (pow (+ (/ 1 f) (/ 1 n)) 2) (pow f 2))) in n 7.698 * [taylor]: Taking taylor expansion of (* (pow (+ (/ 1 f) (/ 1 n)) 2) (pow f 2)) in n 7.698 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 f) (/ 1 n)) 2) in n 7.698 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 7.698 * [taylor]: Taking taylor expansion of (/ 1 f) in n 7.698 * [taylor]: Taking taylor expansion of f in n 7.698 * [backup-simplify]: Simplify f into f 7.698 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 7.698 * [taylor]: Taking taylor expansion of (/ 1 n) in n 7.698 * [taylor]: Taking taylor expansion of n in n 7.698 * [backup-simplify]: Simplify 0 into 0 7.698 * [backup-simplify]: Simplify 1 into 1 7.699 * [backup-simplify]: Simplify (/ 1 1) into 1 7.699 * [backup-simplify]: Simplify (+ 0 1) into 1 7.699 * [taylor]: Taking taylor expansion of (pow f 2) in n 7.699 * [taylor]: Taking taylor expansion of f in n 7.699 * [backup-simplify]: Simplify f into f 7.699 * [backup-simplify]: Simplify (* 1 1) into 1 7.699 * [backup-simplify]: Simplify (* f f) into (pow f 2) 7.699 * [backup-simplify]: Simplify (* 1 (pow f 2)) into (pow f 2) 7.699 * [backup-simplify]: Simplify (/ 1 (pow f 2)) into (/ 1 (pow f 2)) 7.699 * [taylor]: Taking taylor expansion of (/ 1 (* (pow (+ (/ 1 f) (/ 1 n)) 2) (pow f 2))) in f 7.699 * [taylor]: Taking taylor expansion of (* (pow (+ (/ 1 f) (/ 1 n)) 2) (pow f 2)) in f 7.699 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 f) (/ 1 n)) 2) in f 7.700 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 7.700 * [taylor]: Taking taylor expansion of (/ 1 f) in f 7.700 * [taylor]: Taking taylor expansion of f in f 7.700 * [backup-simplify]: Simplify 0 into 0 7.700 * [backup-simplify]: Simplify 1 into 1 7.700 * [backup-simplify]: Simplify (/ 1 1) into 1 7.700 * [taylor]: Taking taylor expansion of (/ 1 n) in f 7.700 * [taylor]: Taking taylor expansion of n in f 7.700 * [backup-simplify]: Simplify n into n 7.700 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 7.700 * [backup-simplify]: Simplify (+ 1 0) into 1 7.700 * [taylor]: Taking taylor expansion of (pow f 2) in f 7.700 * [taylor]: Taking taylor expansion of f in f 7.700 * [backup-simplify]: Simplify 0 into 0 7.700 * [backup-simplify]: Simplify 1 into 1 7.700 * [backup-simplify]: Simplify (* 1 1) into 1 7.701 * [backup-simplify]: Simplify (* 1 1) into 1 7.701 * [backup-simplify]: Simplify (* 1 1) into 1 7.701 * [backup-simplify]: Simplify (/ 1 1) into 1 7.701 * [taylor]: Taking taylor expansion of (/ 1 (* (pow (+ (/ 1 f) (/ 1 n)) 2) (pow f 2))) in f 7.701 * [taylor]: Taking taylor expansion of (* (pow (+ (/ 1 f) (/ 1 n)) 2) (pow f 2)) in f 7.701 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 f) (/ 1 n)) 2) in f 7.701 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 7.701 * [taylor]: Taking taylor expansion of (/ 1 f) in f 7.701 * [taylor]: Taking taylor expansion of f in f 7.701 * [backup-simplify]: Simplify 0 into 0 7.701 * [backup-simplify]: Simplify 1 into 1 7.702 * [backup-simplify]: Simplify (/ 1 1) into 1 7.702 * [taylor]: Taking taylor expansion of (/ 1 n) in f 7.702 * [taylor]: Taking taylor expansion of n in f 7.702 * [backup-simplify]: Simplify n into n 7.702 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 7.702 * [backup-simplify]: Simplify (+ 1 0) into 1 7.702 * [taylor]: Taking taylor expansion of (pow f 2) in f 7.702 * [taylor]: Taking taylor expansion of f in f 7.702 * [backup-simplify]: Simplify 0 into 0 7.702 * [backup-simplify]: Simplify 1 into 1 7.702 * [backup-simplify]: Simplify (* 1 1) into 1 7.702 * [backup-simplify]: Simplify (* 1 1) into 1 7.703 * [backup-simplify]: Simplify (* 1 1) into 1 7.703 * [backup-simplify]: Simplify (/ 1 1) into 1 7.703 * [taylor]: Taking taylor expansion of 1 in n 7.703 * [backup-simplify]: Simplify 1 into 1 7.703 * [backup-simplify]: Simplify 0 into 0 7.703 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.704 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.704 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 7.704 * [backup-simplify]: Simplify (+ (* 1 (/ 1 n)) (* (/ 1 n) 1)) into (* 2 (/ 1 n)) 7.704 * [backup-simplify]: Simplify (+ (* 1 0) (* (* 2 (/ 1 n)) 1)) into (* 2 (/ 1 n)) 7.704 * [backup-simplify]: Simplify (- (+ (* 1 (/ (* 2 (/ 1 n)) 1)))) into (- (* 2 (/ 1 n))) 7.705 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 7.705 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 7.705 * [taylor]: Taking taylor expansion of 2 in n 7.705 * [backup-simplify]: Simplify 2 into 2 7.705 * [taylor]: Taking taylor expansion of (/ 1 n) in n 7.705 * [taylor]: Taking taylor expansion of n in n 7.705 * [backup-simplify]: Simplify 0 into 0 7.705 * [backup-simplify]: Simplify 1 into 1 7.705 * [backup-simplify]: Simplify (/ 1 1) into 1 7.705 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.706 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.706 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.707 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.707 * [backup-simplify]: Simplify (- 0) into 0 7.707 * [backup-simplify]: Simplify 0 into 0 7.707 * [backup-simplify]: Simplify 0 into 0 7.708 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.708 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.708 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 7.709 * [backup-simplify]: Simplify (+ 0 0) into 0 7.709 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 n) (/ 1 n)) (* 0 1))) into (/ 1 (pow n 2)) 7.710 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (* 2 (/ 1 n)) 0) (* (/ 1 (pow n 2)) 1))) into (/ 1 (pow n 2)) 7.710 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 (pow n 2)) 1)) (* (- (* 2 (/ 1 n))) (/ (* 2 (/ 1 n)) 1)))) into (* 3 (/ 1 (pow n 2))) 7.710 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow n 2))) in n 7.710 * [taylor]: Taking taylor expansion of 3 in n 7.710 * [backup-simplify]: Simplify 3 into 3 7.710 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 7.710 * [taylor]: Taking taylor expansion of (pow n 2) in n 7.710 * [taylor]: Taking taylor expansion of n in n 7.710 * [backup-simplify]: Simplify 0 into 0 7.710 * [backup-simplify]: Simplify 1 into 1 7.710 * [backup-simplify]: Simplify (* 1 1) into 1 7.710 * [backup-simplify]: Simplify (/ 1 1) into 1 7.711 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 7.712 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.712 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.713 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.713 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.714 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.714 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.715 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.716 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 7.716 * [backup-simplify]: Simplify 0 into 0 7.716 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.717 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 7.717 * [backup-simplify]: Simplify (- 0) into 0 7.717 * [backup-simplify]: Simplify 0 into 0 7.717 * [backup-simplify]: Simplify 0 into 0 7.717 * [backup-simplify]: Simplify 0 into 0 7.717 * [backup-simplify]: Simplify (* (/ (/ 1 (- f)) (+ (/ 1 (- f)) (/ 1 (- n)))) (/ (/ 1 (- f)) (+ (/ 1 (- f)) (/ 1 (- n))))) into (/ 1 (* (pow (+ (/ 1 f) (/ 1 n)) 2) (pow f 2))) 7.717 * [approximate]: Taking taylor expansion of (/ 1 (* (pow (+ (/ 1 f) (/ 1 n)) 2) (pow f 2))) in (f n) around 0 7.717 * [taylor]: Taking taylor expansion of (/ 1 (* (pow (+ (/ 1 f) (/ 1 n)) 2) (pow f 2))) in n 7.718 * [taylor]: Taking taylor expansion of (* (pow (+ (/ 1 f) (/ 1 n)) 2) (pow f 2)) in n 7.718 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 f) (/ 1 n)) 2) in n 7.718 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 7.718 * [taylor]: Taking taylor expansion of (/ 1 f) in n 7.718 * [taylor]: Taking taylor expansion of f in n 7.718 * [backup-simplify]: Simplify f into f 7.718 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 7.718 * [taylor]: Taking taylor expansion of (/ 1 n) in n 7.718 * [taylor]: Taking taylor expansion of n in n 7.718 * [backup-simplify]: Simplify 0 into 0 7.718 * [backup-simplify]: Simplify 1 into 1 7.718 * [backup-simplify]: Simplify (/ 1 1) into 1 7.718 * [backup-simplify]: Simplify (+ 0 1) into 1 7.718 * [taylor]: Taking taylor expansion of (pow f 2) in n 7.718 * [taylor]: Taking taylor expansion of f in n 7.718 * [backup-simplify]: Simplify f into f 7.719 * [backup-simplify]: Simplify (* 1 1) into 1 7.719 * [backup-simplify]: Simplify (* f f) into (pow f 2) 7.719 * [backup-simplify]: Simplify (* 1 (pow f 2)) into (pow f 2) 7.719 * [backup-simplify]: Simplify (/ 1 (pow f 2)) into (/ 1 (pow f 2)) 7.719 * [taylor]: Taking taylor expansion of (/ 1 (* (pow (+ (/ 1 f) (/ 1 n)) 2) (pow f 2))) in f 7.719 * [taylor]: Taking taylor expansion of (* (pow (+ (/ 1 f) (/ 1 n)) 2) (pow f 2)) in f 7.719 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 f) (/ 1 n)) 2) in f 7.719 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 7.719 * [taylor]: Taking taylor expansion of (/ 1 f) in f 7.719 * [taylor]: Taking taylor expansion of f in f 7.719 * [backup-simplify]: Simplify 0 into 0 7.719 * [backup-simplify]: Simplify 1 into 1 7.719 * [backup-simplify]: Simplify (/ 1 1) into 1 7.719 * [taylor]: Taking taylor expansion of (/ 1 n) in f 7.719 * [taylor]: Taking taylor expansion of n in f 7.719 * [backup-simplify]: Simplify n into n 7.719 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 7.719 * [backup-simplify]: Simplify (+ 1 0) into 1 7.719 * [taylor]: Taking taylor expansion of (pow f 2) in f 7.719 * [taylor]: Taking taylor expansion of f in f 7.720 * [backup-simplify]: Simplify 0 into 0 7.720 * [backup-simplify]: Simplify 1 into 1 7.720 * [backup-simplify]: Simplify (* 1 1) into 1 7.720 * [backup-simplify]: Simplify (* 1 1) into 1 7.720 * [backup-simplify]: Simplify (* 1 1) into 1 7.720 * [backup-simplify]: Simplify (/ 1 1) into 1 7.720 * [taylor]: Taking taylor expansion of (/ 1 (* (pow (+ (/ 1 f) (/ 1 n)) 2) (pow f 2))) in f 7.721 * [taylor]: Taking taylor expansion of (* (pow (+ (/ 1 f) (/ 1 n)) 2) (pow f 2)) in f 7.721 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 f) (/ 1 n)) 2) in f 7.721 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 7.721 * [taylor]: Taking taylor expansion of (/ 1 f) in f 7.721 * [taylor]: Taking taylor expansion of f in f 7.721 * [backup-simplify]: Simplify 0 into 0 7.721 * [backup-simplify]: Simplify 1 into 1 7.721 * [backup-simplify]: Simplify (/ 1 1) into 1 7.721 * [taylor]: Taking taylor expansion of (/ 1 n) in f 7.721 * [taylor]: Taking taylor expansion of n in f 7.721 * [backup-simplify]: Simplify n into n 7.721 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 7.721 * [backup-simplify]: Simplify (+ 1 0) into 1 7.721 * [taylor]: Taking taylor expansion of (pow f 2) in f 7.721 * [taylor]: Taking taylor expansion of f in f 7.721 * [backup-simplify]: Simplify 0 into 0 7.721 * [backup-simplify]: Simplify 1 into 1 7.722 * [backup-simplify]: Simplify (* 1 1) into 1 7.722 * [backup-simplify]: Simplify (* 1 1) into 1 7.722 * [backup-simplify]: Simplify (* 1 1) into 1 7.722 * [backup-simplify]: Simplify (/ 1 1) into 1 7.722 * [taylor]: Taking taylor expansion of 1 in n 7.722 * [backup-simplify]: Simplify 1 into 1 7.722 * [backup-simplify]: Simplify 0 into 0 7.723 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.724 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.724 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 7.724 * [backup-simplify]: Simplify (+ (* 1 (/ 1 n)) (* (/ 1 n) 1)) into (* 2 (/ 1 n)) 7.724 * [backup-simplify]: Simplify (+ (* 1 0) (* (* 2 (/ 1 n)) 1)) into (* 2 (/ 1 n)) 7.725 * [backup-simplify]: Simplify (- (+ (* 1 (/ (* 2 (/ 1 n)) 1)))) into (- (* 2 (/ 1 n))) 7.725 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 7.725 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 7.725 * [taylor]: Taking taylor expansion of 2 in n 7.725 * [backup-simplify]: Simplify 2 into 2 7.725 * [taylor]: Taking taylor expansion of (/ 1 n) in n 7.725 * [taylor]: Taking taylor expansion of n in n 7.725 * [backup-simplify]: Simplify 0 into 0 7.725 * [backup-simplify]: Simplify 1 into 1 7.725 * [backup-simplify]: Simplify (/ 1 1) into 1 7.726 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.727 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.728 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.729 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.729 * [backup-simplify]: Simplify (- 0) into 0 7.729 * [backup-simplify]: Simplify 0 into 0 7.729 * [backup-simplify]: Simplify 0 into 0 7.730 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.731 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.731 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 7.732 * [backup-simplify]: Simplify (+ 0 0) into 0 7.733 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 n) (/ 1 n)) (* 0 1))) into (/ 1 (pow n 2)) 7.734 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (* 2 (/ 1 n)) 0) (* (/ 1 (pow n 2)) 1))) into (/ 1 (pow n 2)) 7.734 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 (pow n 2)) 1)) (* (- (* 2 (/ 1 n))) (/ (* 2 (/ 1 n)) 1)))) into (* 3 (/ 1 (pow n 2))) 7.734 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow n 2))) in n 7.734 * [taylor]: Taking taylor expansion of 3 in n 7.734 * [backup-simplify]: Simplify 3 into 3 7.734 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 7.734 * [taylor]: Taking taylor expansion of (pow n 2) in n 7.734 * [taylor]: Taking taylor expansion of n in n 7.734 * [backup-simplify]: Simplify 0 into 0 7.734 * [backup-simplify]: Simplify 1 into 1 7.735 * [backup-simplify]: Simplify (* 1 1) into 1 7.735 * [backup-simplify]: Simplify (/ 1 1) into 1 7.737 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 7.737 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.738 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.739 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.740 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.741 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.742 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.743 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.752 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 7.752 * [backup-simplify]: Simplify 0 into 0 7.753 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.754 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 7.755 * [backup-simplify]: Simplify (- 0) into 0 7.755 * [backup-simplify]: Simplify 0 into 0 7.755 * [backup-simplify]: Simplify 0 into 0 7.755 * [backup-simplify]: Simplify 0 into 0 7.755 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 1 2) 7.756 * [backup-simplify]: Simplify (* (/ f (+ f n)) (/ f (+ f n))) into (/ (pow f 2) (pow (+ n f) 2)) 7.756 * [approximate]: Taking taylor expansion of (/ (pow f 2) (pow (+ n f) 2)) in (f n) around 0 7.756 * [taylor]: Taking taylor expansion of (/ (pow f 2) (pow (+ n f) 2)) in n 7.756 * [taylor]: Taking taylor expansion of (pow f 2) in n 7.756 * [taylor]: Taking taylor expansion of f in n 7.756 * [backup-simplify]: Simplify f into f 7.756 * [taylor]: Taking taylor expansion of (pow (+ n f) 2) in n 7.756 * [taylor]: Taking taylor expansion of (+ n f) in n 7.756 * [taylor]: Taking taylor expansion of n in n 7.756 * [backup-simplify]: Simplify 0 into 0 7.756 * [backup-simplify]: Simplify 1 into 1 7.756 * [taylor]: Taking taylor expansion of f in n 7.756 * [backup-simplify]: Simplify f into f 7.756 * [backup-simplify]: Simplify (+ 0 f) into f 7.756 * [backup-simplify]: Simplify (* f f) into (pow f 2) 7.756 * [backup-simplify]: Simplify (* f f) into (pow f 2) 7.756 * [backup-simplify]: Simplify (/ (pow f 2) (pow f 2)) into 1 7.756 * [taylor]: Taking taylor expansion of (/ (pow f 2) (pow (+ n f) 2)) in f 7.756 * [taylor]: Taking taylor expansion of (pow f 2) in f 7.756 * [taylor]: Taking taylor expansion of f in f 7.756 * [backup-simplify]: Simplify 0 into 0 7.756 * [backup-simplify]: Simplify 1 into 1 7.756 * [taylor]: Taking taylor expansion of (pow (+ n f) 2) in f 7.756 * [taylor]: Taking taylor expansion of (+ n f) in f 7.756 * [taylor]: Taking taylor expansion of n in f 7.757 * [backup-simplify]: Simplify n into n 7.757 * [taylor]: Taking taylor expansion of f in f 7.757 * [backup-simplify]: Simplify 0 into 0 7.757 * [backup-simplify]: Simplify 1 into 1 7.757 * [backup-simplify]: Simplify (+ n 0) into n 7.757 * [backup-simplify]: Simplify (* 1 1) into 1 7.757 * [backup-simplify]: Simplify (* n n) into (pow n 2) 7.757 * [backup-simplify]: Simplify (/ 1 (pow n 2)) into (/ 1 (pow n 2)) 7.757 * [taylor]: Taking taylor expansion of (/ (pow f 2) (pow (+ n f) 2)) in f 7.757 * [taylor]: Taking taylor expansion of (pow f 2) in f 7.757 * [taylor]: Taking taylor expansion of f in f 7.757 * [backup-simplify]: Simplify 0 into 0 7.757 * [backup-simplify]: Simplify 1 into 1 7.757 * [taylor]: Taking taylor expansion of (pow (+ n f) 2) in f 7.758 * [taylor]: Taking taylor expansion of (+ n f) in f 7.758 * [taylor]: Taking taylor expansion of n in f 7.758 * [backup-simplify]: Simplify n into n 7.758 * [taylor]: Taking taylor expansion of f in f 7.758 * [backup-simplify]: Simplify 0 into 0 7.758 * [backup-simplify]: Simplify 1 into 1 7.758 * [backup-simplify]: Simplify (+ n 0) into n 7.758 * [backup-simplify]: Simplify (* 1 1) into 1 7.758 * [backup-simplify]: Simplify (* n n) into (pow n 2) 7.758 * [backup-simplify]: Simplify (/ 1 (pow n 2)) into (/ 1 (pow n 2)) 7.758 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 7.758 * [taylor]: Taking taylor expansion of (pow n 2) in n 7.759 * [taylor]: Taking taylor expansion of n in n 7.759 * [backup-simplify]: Simplify 0 into 0 7.759 * [backup-simplify]: Simplify 1 into 1 7.759 * [backup-simplify]: Simplify (* 1 1) into 1 7.759 * [backup-simplify]: Simplify (/ 1 1) into 1 7.761 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.761 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.762 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.763 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.764 * [backup-simplify]: Simplify 0 into 0 7.764 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.765 * [backup-simplify]: Simplify (+ 0 1) into 1 7.765 * [backup-simplify]: Simplify (+ (* n 1) (* 1 n)) into (* 2 n) 7.765 * [backup-simplify]: Simplify (- (/ 0 (pow n 2)) (+ (* (/ 1 (pow n 2)) (/ (* 2 n) (pow n 2))))) into (- (* 2 (/ 1 (pow n 3)))) 7.765 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 7.765 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 7.765 * [taylor]: Taking taylor expansion of 2 in n 7.765 * [backup-simplify]: Simplify 2 into 2 7.765 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 7.765 * [taylor]: Taking taylor expansion of (pow n 3) in n 7.765 * [taylor]: Taking taylor expansion of n in n 7.765 * [backup-simplify]: Simplify 0 into 0 7.766 * [backup-simplify]: Simplify 1 into 1 7.766 * [backup-simplify]: Simplify (* 1 1) into 1 7.766 * [backup-simplify]: Simplify (* 1 1) into 1 7.767 * [backup-simplify]: Simplify (/ 1 1) into 1 7.768 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.769 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.770 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.771 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.771 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.772 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.773 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.774 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.775 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.776 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.777 * [backup-simplify]: Simplify (- 0) into 0 7.777 * [backup-simplify]: Simplify 0 into 0 7.778 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.779 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.779 * [backup-simplify]: Simplify 0 into 0 7.780 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.780 * [backup-simplify]: Simplify (+ 0 0) into 0 7.781 * [backup-simplify]: Simplify (+ (* n 0) (+ (* 1 1) (* 0 n))) into 1 7.781 * [backup-simplify]: Simplify (- (/ 0 (pow n 2)) (+ (* (/ 1 (pow n 2)) (/ 1 (pow n 2))) (* (- (* 2 (/ 1 (pow n 3)))) (/ (* 2 n) (pow n 2))))) into (* 3 (/ 1 (pow n 4))) 7.781 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow n 4))) in n 7.781 * [taylor]: Taking taylor expansion of 3 in n 7.781 * [backup-simplify]: Simplify 3 into 3 7.781 * [taylor]: Taking taylor expansion of (/ 1 (pow n 4)) in n 7.781 * [taylor]: Taking taylor expansion of (pow n 4) in n 7.781 * [taylor]: Taking taylor expansion of n in n 7.781 * [backup-simplify]: Simplify 0 into 0 7.781 * [backup-simplify]: Simplify 1 into 1 7.782 * [backup-simplify]: Simplify (* 1 1) into 1 7.782 * [backup-simplify]: Simplify (* 1 1) into 1 7.783 * [backup-simplify]: Simplify (/ 1 1) into 1 7.784 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 7.785 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.786 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.787 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.788 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 7.789 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.790 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.791 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.792 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.793 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.794 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.795 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.796 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 7.796 * [backup-simplify]: Simplify 0 into 0 7.797 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 7.799 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 7.800 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.801 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 7.801 * [backup-simplify]: Simplify (- 0) into 0 7.801 * [backup-simplify]: Simplify 0 into 0 7.803 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 7.804 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.804 * [backup-simplify]: Simplify 0 into 0 7.804 * [backup-simplify]: Simplify 0 into 0 7.804 * [backup-simplify]: Simplify (* (/ (/ 1 f) (+ (/ 1 f) (/ 1 n))) (/ (/ 1 f) (+ (/ 1 f) (/ 1 n)))) into (/ 1 (* (pow (+ (/ 1 f) (/ 1 n)) 2) (pow f 2))) 7.804 * [approximate]: Taking taylor expansion of (/ 1 (* (pow (+ (/ 1 f) (/ 1 n)) 2) (pow f 2))) in (f n) around 0 7.804 * [taylor]: Taking taylor expansion of (/ 1 (* (pow (+ (/ 1 f) (/ 1 n)) 2) (pow f 2))) in n 7.804 * [taylor]: Taking taylor expansion of (* (pow (+ (/ 1 f) (/ 1 n)) 2) (pow f 2)) in n 7.804 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 f) (/ 1 n)) 2) in n 7.804 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 7.804 * [taylor]: Taking taylor expansion of (/ 1 f) in n 7.804 * [taylor]: Taking taylor expansion of f in n 7.804 * [backup-simplify]: Simplify f into f 7.805 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 7.805 * [taylor]: Taking taylor expansion of (/ 1 n) in n 7.805 * [taylor]: Taking taylor expansion of n in n 7.805 * [backup-simplify]: Simplify 0 into 0 7.805 * [backup-simplify]: Simplify 1 into 1 7.805 * [backup-simplify]: Simplify (/ 1 1) into 1 7.805 * [backup-simplify]: Simplify (+ 0 1) into 1 7.806 * [taylor]: Taking taylor expansion of (pow f 2) in n 7.806 * [taylor]: Taking taylor expansion of f in n 7.806 * [backup-simplify]: Simplify f into f 7.806 * [backup-simplify]: Simplify (* 1 1) into 1 7.806 * [backup-simplify]: Simplify (* f f) into (pow f 2) 7.806 * [backup-simplify]: Simplify (* 1 (pow f 2)) into (pow f 2) 7.806 * [backup-simplify]: Simplify (/ 1 (pow f 2)) into (/ 1 (pow f 2)) 7.806 * [taylor]: Taking taylor expansion of (/ 1 (* (pow (+ (/ 1 f) (/ 1 n)) 2) (pow f 2))) in f 7.806 * [taylor]: Taking taylor expansion of (* (pow (+ (/ 1 f) (/ 1 n)) 2) (pow f 2)) in f 7.806 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 f) (/ 1 n)) 2) in f 7.806 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 7.806 * [taylor]: Taking taylor expansion of (/ 1 f) in f 7.806 * [taylor]: Taking taylor expansion of f in f 7.806 * [backup-simplify]: Simplify 0 into 0 7.806 * [backup-simplify]: Simplify 1 into 1 7.807 * [backup-simplify]: Simplify (/ 1 1) into 1 7.807 * [taylor]: Taking taylor expansion of (/ 1 n) in f 7.807 * [taylor]: Taking taylor expansion of n in f 7.807 * [backup-simplify]: Simplify n into n 7.807 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 7.807 * [backup-simplify]: Simplify (+ 1 0) into 1 7.807 * [taylor]: Taking taylor expansion of (pow f 2) in f 7.807 * [taylor]: Taking taylor expansion of f in f 7.807 * [backup-simplify]: Simplify 0 into 0 7.807 * [backup-simplify]: Simplify 1 into 1 7.808 * [backup-simplify]: Simplify (* 1 1) into 1 7.808 * [backup-simplify]: Simplify (* 1 1) into 1 7.809 * [backup-simplify]: Simplify (* 1 1) into 1 7.809 * [backup-simplify]: Simplify (/ 1 1) into 1 7.809 * [taylor]: Taking taylor expansion of (/ 1 (* (pow (+ (/ 1 f) (/ 1 n)) 2) (pow f 2))) in f 7.809 * [taylor]: Taking taylor expansion of (* (pow (+ (/ 1 f) (/ 1 n)) 2) (pow f 2)) in f 7.809 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 f) (/ 1 n)) 2) in f 7.809 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 7.809 * [taylor]: Taking taylor expansion of (/ 1 f) in f 7.809 * [taylor]: Taking taylor expansion of f in f 7.809 * [backup-simplify]: Simplify 0 into 0 7.809 * [backup-simplify]: Simplify 1 into 1 7.810 * [backup-simplify]: Simplify (/ 1 1) into 1 7.810 * [taylor]: Taking taylor expansion of (/ 1 n) in f 7.810 * [taylor]: Taking taylor expansion of n in f 7.810 * [backup-simplify]: Simplify n into n 7.810 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 7.810 * [backup-simplify]: Simplify (+ 1 0) into 1 7.810 * [taylor]: Taking taylor expansion of (pow f 2) in f 7.810 * [taylor]: Taking taylor expansion of f in f 7.810 * [backup-simplify]: Simplify 0 into 0 7.810 * [backup-simplify]: Simplify 1 into 1 7.811 * [backup-simplify]: Simplify (* 1 1) into 1 7.811 * [backup-simplify]: Simplify (* 1 1) into 1 7.811 * [backup-simplify]: Simplify (* 1 1) into 1 7.812 * [backup-simplify]: Simplify (/ 1 1) into 1 7.812 * [taylor]: Taking taylor expansion of 1 in n 7.812 * [backup-simplify]: Simplify 1 into 1 7.812 * [backup-simplify]: Simplify 0 into 0 7.813 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.813 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.814 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 7.814 * [backup-simplify]: Simplify (+ (* 1 (/ 1 n)) (* (/ 1 n) 1)) into (* 2 (/ 1 n)) 7.814 * [backup-simplify]: Simplify (+ (* 1 0) (* (* 2 (/ 1 n)) 1)) into (* 2 (/ 1 n)) 7.814 * [backup-simplify]: Simplify (- (+ (* 1 (/ (* 2 (/ 1 n)) 1)))) into (- (* 2 (/ 1 n))) 7.814 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 7.814 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 7.814 * [taylor]: Taking taylor expansion of 2 in n 7.814 * [backup-simplify]: Simplify 2 into 2 7.815 * [taylor]: Taking taylor expansion of (/ 1 n) in n 7.815 * [taylor]: Taking taylor expansion of n in n 7.815 * [backup-simplify]: Simplify 0 into 0 7.815 * [backup-simplify]: Simplify 1 into 1 7.815 * [backup-simplify]: Simplify (/ 1 1) into 1 7.816 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.817 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.818 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.819 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.819 * [backup-simplify]: Simplify (- 0) into 0 7.819 * [backup-simplify]: Simplify 0 into 0 7.819 * [backup-simplify]: Simplify 0 into 0 7.820 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.821 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.821 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 7.822 * [backup-simplify]: Simplify (+ 0 0) into 0 7.823 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 n) (/ 1 n)) (* 0 1))) into (/ 1 (pow n 2)) 7.823 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (* 2 (/ 1 n)) 0) (* (/ 1 (pow n 2)) 1))) into (/ 1 (pow n 2)) 7.824 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 (pow n 2)) 1)) (* (- (* 2 (/ 1 n))) (/ (* 2 (/ 1 n)) 1)))) into (* 3 (/ 1 (pow n 2))) 7.824 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow n 2))) in n 7.824 * [taylor]: Taking taylor expansion of 3 in n 7.824 * [backup-simplify]: Simplify 3 into 3 7.824 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 7.824 * [taylor]: Taking taylor expansion of (pow n 2) in n 7.824 * [taylor]: Taking taylor expansion of n in n 7.824 * [backup-simplify]: Simplify 0 into 0 7.824 * [backup-simplify]: Simplify 1 into 1 7.824 * [backup-simplify]: Simplify (* 1 1) into 1 7.825 * [backup-simplify]: Simplify (/ 1 1) into 1 7.826 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 7.826 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.827 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.828 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.829 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.830 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.831 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.832 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.833 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 7.833 * [backup-simplify]: Simplify 0 into 0 7.834 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.836 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 7.836 * [backup-simplify]: Simplify (- 0) into 0 7.836 * [backup-simplify]: Simplify 0 into 0 7.836 * [backup-simplify]: Simplify 0 into 0 7.836 * [backup-simplify]: Simplify 0 into 0 7.837 * [backup-simplify]: Simplify (* (/ (/ 1 (- f)) (+ (/ 1 (- f)) (/ 1 (- n)))) (/ (/ 1 (- f)) (+ (/ 1 (- f)) (/ 1 (- n))))) into (/ 1 (* (pow (+ (/ 1 f) (/ 1 n)) 2) (pow f 2))) 7.837 * [approximate]: Taking taylor expansion of (/ 1 (* (pow (+ (/ 1 f) (/ 1 n)) 2) (pow f 2))) in (f n) around 0 7.837 * [taylor]: Taking taylor expansion of (/ 1 (* (pow (+ (/ 1 f) (/ 1 n)) 2) (pow f 2))) in n 7.837 * [taylor]: Taking taylor expansion of (* (pow (+ (/ 1 f) (/ 1 n)) 2) (pow f 2)) in n 7.837 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 f) (/ 1 n)) 2) in n 7.837 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 7.837 * [taylor]: Taking taylor expansion of (/ 1 f) in n 7.837 * [taylor]: Taking taylor expansion of f in n 7.837 * [backup-simplify]: Simplify f into f 7.837 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 7.837 * [taylor]: Taking taylor expansion of (/ 1 n) in n 7.837 * [taylor]: Taking taylor expansion of n in n 7.837 * [backup-simplify]: Simplify 0 into 0 7.837 * [backup-simplify]: Simplify 1 into 1 7.838 * [backup-simplify]: Simplify (/ 1 1) into 1 7.838 * [backup-simplify]: Simplify (+ 0 1) into 1 7.838 * [taylor]: Taking taylor expansion of (pow f 2) in n 7.838 * [taylor]: Taking taylor expansion of f in n 7.838 * [backup-simplify]: Simplify f into f 7.839 * [backup-simplify]: Simplify (* 1 1) into 1 7.839 * [backup-simplify]: Simplify (* f f) into (pow f 2) 7.839 * [backup-simplify]: Simplify (* 1 (pow f 2)) into (pow f 2) 7.839 * [backup-simplify]: Simplify (/ 1 (pow f 2)) into (/ 1 (pow f 2)) 7.839 * [taylor]: Taking taylor expansion of (/ 1 (* (pow (+ (/ 1 f) (/ 1 n)) 2) (pow f 2))) in f 7.839 * [taylor]: Taking taylor expansion of (* (pow (+ (/ 1 f) (/ 1 n)) 2) (pow f 2)) in f 7.839 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 f) (/ 1 n)) 2) in f 7.839 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 7.839 * [taylor]: Taking taylor expansion of (/ 1 f) in f 7.839 * [taylor]: Taking taylor expansion of f in f 7.839 * [backup-simplify]: Simplify 0 into 0 7.839 * [backup-simplify]: Simplify 1 into 1 7.840 * [backup-simplify]: Simplify (/ 1 1) into 1 7.840 * [taylor]: Taking taylor expansion of (/ 1 n) in f 7.840 * [taylor]: Taking taylor expansion of n in f 7.840 * [backup-simplify]: Simplify n into n 7.840 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 7.840 * [backup-simplify]: Simplify (+ 1 0) into 1 7.840 * [taylor]: Taking taylor expansion of (pow f 2) in f 7.840 * [taylor]: Taking taylor expansion of f in f 7.840 * [backup-simplify]: Simplify 0 into 0 7.840 * [backup-simplify]: Simplify 1 into 1 7.841 * [backup-simplify]: Simplify (* 1 1) into 1 7.841 * [backup-simplify]: Simplify (* 1 1) into 1 7.842 * [backup-simplify]: Simplify (* 1 1) into 1 7.842 * [backup-simplify]: Simplify (/ 1 1) into 1 7.842 * [taylor]: Taking taylor expansion of (/ 1 (* (pow (+ (/ 1 f) (/ 1 n)) 2) (pow f 2))) in f 7.842 * [taylor]: Taking taylor expansion of (* (pow (+ (/ 1 f) (/ 1 n)) 2) (pow f 2)) in f 7.842 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 f) (/ 1 n)) 2) in f 7.842 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 7.842 * [taylor]: Taking taylor expansion of (/ 1 f) in f 7.842 * [taylor]: Taking taylor expansion of f in f 7.842 * [backup-simplify]: Simplify 0 into 0 7.842 * [backup-simplify]: Simplify 1 into 1 7.843 * [backup-simplify]: Simplify (/ 1 1) into 1 7.843 * [taylor]: Taking taylor expansion of (/ 1 n) in f 7.843 * [taylor]: Taking taylor expansion of n in f 7.843 * [backup-simplify]: Simplify n into n 7.843 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 7.843 * [backup-simplify]: Simplify (+ 1 0) into 1 7.843 * [taylor]: Taking taylor expansion of (pow f 2) in f 7.843 * [taylor]: Taking taylor expansion of f in f 7.843 * [backup-simplify]: Simplify 0 into 0 7.843 * [backup-simplify]: Simplify 1 into 1 7.844 * [backup-simplify]: Simplify (* 1 1) into 1 7.844 * [backup-simplify]: Simplify (* 1 1) into 1 7.845 * [backup-simplify]: Simplify (* 1 1) into 1 7.845 * [backup-simplify]: Simplify (/ 1 1) into 1 7.845 * [taylor]: Taking taylor expansion of 1 in n 7.845 * [backup-simplify]: Simplify 1 into 1 7.845 * [backup-simplify]: Simplify 0 into 0 7.846 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.847 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.847 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 7.847 * [backup-simplify]: Simplify (+ (* 1 (/ 1 n)) (* (/ 1 n) 1)) into (* 2 (/ 1 n)) 7.848 * [backup-simplify]: Simplify (+ (* 1 0) (* (* 2 (/ 1 n)) 1)) into (* 2 (/ 1 n)) 7.848 * [backup-simplify]: Simplify (- (+ (* 1 (/ (* 2 (/ 1 n)) 1)))) into (- (* 2 (/ 1 n))) 7.848 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 7.848 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 7.848 * [taylor]: Taking taylor expansion of 2 in n 7.848 * [backup-simplify]: Simplify 2 into 2 7.848 * [taylor]: Taking taylor expansion of (/ 1 n) in n 7.848 * [taylor]: Taking taylor expansion of n in n 7.848 * [backup-simplify]: Simplify 0 into 0 7.848 * [backup-simplify]: Simplify 1 into 1 7.849 * [backup-simplify]: Simplify (/ 1 1) into 1 7.849 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.850 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.851 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.852 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.853 * [backup-simplify]: Simplify (- 0) into 0 7.853 * [backup-simplify]: Simplify 0 into 0 7.853 * [backup-simplify]: Simplify 0 into 0 7.854 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.855 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.855 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 7.855 * [backup-simplify]: Simplify (+ 0 0) into 0 7.857 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 n) (/ 1 n)) (* 0 1))) into (/ 1 (pow n 2)) 7.857 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (* 2 (/ 1 n)) 0) (* (/ 1 (pow n 2)) 1))) into (/ 1 (pow n 2)) 7.858 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 (pow n 2)) 1)) (* (- (* 2 (/ 1 n))) (/ (* 2 (/ 1 n)) 1)))) into (* 3 (/ 1 (pow n 2))) 7.858 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow n 2))) in n 7.858 * [taylor]: Taking taylor expansion of 3 in n 7.858 * [backup-simplify]: Simplify 3 into 3 7.858 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 7.858 * [taylor]: Taking taylor expansion of (pow n 2) in n 7.858 * [taylor]: Taking taylor expansion of n in n 7.858 * [backup-simplify]: Simplify 0 into 0 7.858 * [backup-simplify]: Simplify 1 into 1 7.859 * [backup-simplify]: Simplify (* 1 1) into 1 7.859 * [backup-simplify]: Simplify (/ 1 1) into 1 7.860 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 7.861 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.862 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.863 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.864 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.865 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.866 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.867 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.868 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 7.868 * [backup-simplify]: Simplify 0 into 0 7.869 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.871 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 7.871 * [backup-simplify]: Simplify (- 0) into 0 7.871 * [backup-simplify]: Simplify 0 into 0 7.871 * [backup-simplify]: Simplify 0 into 0 7.871 * [backup-simplify]: Simplify 0 into 0 7.871 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 2 2 1) 7.871 * [backup-simplify]: Simplify (* (/ n (+ f n)) (/ n (+ f n))) into (/ (pow n 2) (pow (+ n f) 2)) 7.872 * [approximate]: Taking taylor expansion of (/ (pow n 2) (pow (+ n f) 2)) in (n f) around 0 7.872 * [taylor]: Taking taylor expansion of (/ (pow n 2) (pow (+ n f) 2)) in f 7.872 * [taylor]: Taking taylor expansion of (pow n 2) in f 7.872 * [taylor]: Taking taylor expansion of n in f 7.872 * [backup-simplify]: Simplify n into n 7.872 * [taylor]: Taking taylor expansion of (pow (+ n f) 2) in f 7.872 * [taylor]: Taking taylor expansion of (+ n f) in f 7.872 * [taylor]: Taking taylor expansion of n in f 7.872 * [backup-simplify]: Simplify n into n 7.872 * [taylor]: Taking taylor expansion of f in f 7.872 * [backup-simplify]: Simplify 0 into 0 7.872 * [backup-simplify]: Simplify 1 into 1 7.872 * [backup-simplify]: Simplify (+ n 0) into n 7.872 * [backup-simplify]: Simplify (* n n) into (pow n 2) 7.872 * [backup-simplify]: Simplify (* n n) into (pow n 2) 7.872 * [backup-simplify]: Simplify (/ (pow n 2) (pow n 2)) into 1 7.872 * [taylor]: Taking taylor expansion of (/ (pow n 2) (pow (+ n f) 2)) in n 7.872 * [taylor]: Taking taylor expansion of (pow n 2) in n 7.872 * [taylor]: Taking taylor expansion of n in n 7.872 * [backup-simplify]: Simplify 0 into 0 7.872 * [backup-simplify]: Simplify 1 into 1 7.872 * [taylor]: Taking taylor expansion of (pow (+ n f) 2) in n 7.872 * [taylor]: Taking taylor expansion of (+ n f) in n 7.872 * [taylor]: Taking taylor expansion of n in n 7.872 * [backup-simplify]: Simplify 0 into 0 7.872 * [backup-simplify]: Simplify 1 into 1 7.872 * [taylor]: Taking taylor expansion of f in n 7.872 * [backup-simplify]: Simplify f into f 7.872 * [backup-simplify]: Simplify (+ 0 f) into f 7.873 * [backup-simplify]: Simplify (* 1 1) into 1 7.873 * [backup-simplify]: Simplify (* f f) into (pow f 2) 7.873 * [backup-simplify]: Simplify (/ 1 (pow f 2)) into (/ 1 (pow f 2)) 7.873 * [taylor]: Taking taylor expansion of (/ (pow n 2) (pow (+ n f) 2)) in n 7.873 * [taylor]: Taking taylor expansion of (pow n 2) in n 7.873 * [taylor]: Taking taylor expansion of n in n 7.873 * [backup-simplify]: Simplify 0 into 0 7.873 * [backup-simplify]: Simplify 1 into 1 7.873 * [taylor]: Taking taylor expansion of (pow (+ n f) 2) in n 7.873 * [taylor]: Taking taylor expansion of (+ n f) in n 7.873 * [taylor]: Taking taylor expansion of n in n 7.873 * [backup-simplify]: Simplify 0 into 0 7.873 * [backup-simplify]: Simplify 1 into 1 7.873 * [taylor]: Taking taylor expansion of f in n 7.873 * [backup-simplify]: Simplify f into f 7.874 * [backup-simplify]: Simplify (+ 0 f) into f 7.874 * [backup-simplify]: Simplify (* 1 1) into 1 7.874 * [backup-simplify]: Simplify (* f f) into (pow f 2) 7.874 * [backup-simplify]: Simplify (/ 1 (pow f 2)) into (/ 1 (pow f 2)) 7.874 * [taylor]: Taking taylor expansion of (/ 1 (pow f 2)) in f 7.874 * [taylor]: Taking taylor expansion of (pow f 2) in f 7.874 * [taylor]: Taking taylor expansion of f in f 7.874 * [backup-simplify]: Simplify 0 into 0 7.874 * [backup-simplify]: Simplify 1 into 1 7.875 * [backup-simplify]: Simplify (* 1 1) into 1 7.875 * [backup-simplify]: Simplify (/ 1 1) into 1 7.875 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.876 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.876 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.877 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.877 * [backup-simplify]: Simplify 0 into 0 7.877 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.878 * [backup-simplify]: Simplify (+ 1 0) into 1 7.878 * [backup-simplify]: Simplify (+ (* f 1) (* 1 f)) into (* 2 f) 7.878 * [backup-simplify]: Simplify (- (/ 0 (pow f 2)) (+ (* (/ 1 (pow f 2)) (/ (* 2 f) (pow f 2))))) into (- (* 2 (/ 1 (pow f 3)))) 7.878 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow f 3)))) in f 7.878 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow f 3))) in f 7.878 * [taylor]: Taking taylor expansion of 2 in f 7.878 * [backup-simplify]: Simplify 2 into 2 7.878 * [taylor]: Taking taylor expansion of (/ 1 (pow f 3)) in f 7.878 * [taylor]: Taking taylor expansion of (pow f 3) in f 7.878 * [taylor]: Taking taylor expansion of f in f 7.878 * [backup-simplify]: Simplify 0 into 0 7.878 * [backup-simplify]: Simplify 1 into 1 7.878 * [backup-simplify]: Simplify (* 1 1) into 1 7.879 * [backup-simplify]: Simplify (* 1 1) into 1 7.879 * [backup-simplify]: Simplify (/ 1 1) into 1 7.880 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.880 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.880 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.881 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.881 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.882 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.882 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.883 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.884 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.884 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.884 * [backup-simplify]: Simplify (- 0) into 0 7.884 * [backup-simplify]: Simplify 0 into 0 7.885 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.886 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.886 * [backup-simplify]: Simplify 0 into 0 7.886 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.886 * [backup-simplify]: Simplify (+ 0 0) into 0 7.887 * [backup-simplify]: Simplify (+ (* f 0) (+ (* 1 1) (* 0 f))) into 1 7.887 * [backup-simplify]: Simplify (- (/ 0 (pow f 2)) (+ (* (/ 1 (pow f 2)) (/ 1 (pow f 2))) (* (- (* 2 (/ 1 (pow f 3)))) (/ (* 2 f) (pow f 2))))) into (* 3 (/ 1 (pow f 4))) 7.887 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow f 4))) in f 7.887 * [taylor]: Taking taylor expansion of 3 in f 7.887 * [backup-simplify]: Simplify 3 into 3 7.887 * [taylor]: Taking taylor expansion of (/ 1 (pow f 4)) in f 7.887 * [taylor]: Taking taylor expansion of (pow f 4) in f 7.887 * [taylor]: Taking taylor expansion of f in f 7.887 * [backup-simplify]: Simplify 0 into 0 7.887 * [backup-simplify]: Simplify 1 into 1 7.887 * [backup-simplify]: Simplify (* 1 1) into 1 7.888 * [backup-simplify]: Simplify (* 1 1) into 1 7.888 * [backup-simplify]: Simplify (/ 1 1) into 1 7.889 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 7.889 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.890 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.890 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.891 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 7.891 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.892 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.892 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.897 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.897 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.898 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.899 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.899 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 7.900 * [backup-simplify]: Simplify 0 into 0 7.900 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 7.901 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 7.902 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.902 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 7.903 * [backup-simplify]: Simplify (- 0) into 0 7.903 * [backup-simplify]: Simplify 0 into 0 7.903 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 7.904 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.904 * [backup-simplify]: Simplify 0 into 0 7.904 * [backup-simplify]: Simplify 0 into 0 7.904 * [backup-simplify]: Simplify (* (/ (/ 1 n) (+ (/ 1 f) (/ 1 n))) (/ (/ 1 n) (+ (/ 1 f) (/ 1 n)))) into (/ 1 (* (pow (+ (/ 1 f) (/ 1 n)) 2) (pow n 2))) 7.904 * [approximate]: Taking taylor expansion of (/ 1 (* (pow (+ (/ 1 f) (/ 1 n)) 2) (pow n 2))) in (n f) around 0 7.904 * [taylor]: Taking taylor expansion of (/ 1 (* (pow (+ (/ 1 f) (/ 1 n)) 2) (pow n 2))) in f 7.904 * [taylor]: Taking taylor expansion of (* (pow (+ (/ 1 f) (/ 1 n)) 2) (pow n 2)) in f 7.904 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 f) (/ 1 n)) 2) in f 7.904 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 7.904 * [taylor]: Taking taylor expansion of (/ 1 f) in f 7.904 * [taylor]: Taking taylor expansion of f in f 7.904 * [backup-simplify]: Simplify 0 into 0 7.904 * [backup-simplify]: Simplify 1 into 1 7.905 * [backup-simplify]: Simplify (/ 1 1) into 1 7.905 * [taylor]: Taking taylor expansion of (/ 1 n) in f 7.905 * [taylor]: Taking taylor expansion of n in f 7.905 * [backup-simplify]: Simplify n into n 7.905 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 7.905 * [backup-simplify]: Simplify (+ 1 0) into 1 7.905 * [taylor]: Taking taylor expansion of (pow n 2) in f 7.905 * [taylor]: Taking taylor expansion of n in f 7.905 * [backup-simplify]: Simplify n into n 7.905 * [backup-simplify]: Simplify (* 1 1) into 1 7.905 * [backup-simplify]: Simplify (* n n) into (pow n 2) 7.905 * [backup-simplify]: Simplify (* 1 (pow n 2)) into (pow n 2) 7.905 * [backup-simplify]: Simplify (/ 1 (pow n 2)) into (/ 1 (pow n 2)) 7.905 * [taylor]: Taking taylor expansion of (/ 1 (* (pow (+ (/ 1 f) (/ 1 n)) 2) (pow n 2))) in n 7.905 * [taylor]: Taking taylor expansion of (* (pow (+ (/ 1 f) (/ 1 n)) 2) (pow n 2)) in n 7.905 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 f) (/ 1 n)) 2) in n 7.905 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 7.905 * [taylor]: Taking taylor expansion of (/ 1 f) in n 7.906 * [taylor]: Taking taylor expansion of f in n 7.906 * [backup-simplify]: Simplify f into f 7.906 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 7.906 * [taylor]: Taking taylor expansion of (/ 1 n) in n 7.906 * [taylor]: Taking taylor expansion of n in n 7.906 * [backup-simplify]: Simplify 0 into 0 7.906 * [backup-simplify]: Simplify 1 into 1 7.906 * [backup-simplify]: Simplify (/ 1 1) into 1 7.906 * [backup-simplify]: Simplify (+ 0 1) into 1 7.906 * [taylor]: Taking taylor expansion of (pow n 2) in n 7.906 * [taylor]: Taking taylor expansion of n in n 7.906 * [backup-simplify]: Simplify 0 into 0 7.906 * [backup-simplify]: Simplify 1 into 1 7.906 * [backup-simplify]: Simplify (* 1 1) into 1 7.907 * [backup-simplify]: Simplify (* 1 1) into 1 7.907 * [backup-simplify]: Simplify (* 1 1) into 1 7.907 * [backup-simplify]: Simplify (/ 1 1) into 1 7.907 * [taylor]: Taking taylor expansion of (/ 1 (* (pow (+ (/ 1 f) (/ 1 n)) 2) (pow n 2))) in n 7.907 * [taylor]: Taking taylor expansion of (* (pow (+ (/ 1 f) (/ 1 n)) 2) (pow n 2)) in n 7.907 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 f) (/ 1 n)) 2) in n 7.907 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 7.907 * [taylor]: Taking taylor expansion of (/ 1 f) in n 7.907 * [taylor]: Taking taylor expansion of f in n 7.907 * [backup-simplify]: Simplify f into f 7.907 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 7.907 * [taylor]: Taking taylor expansion of (/ 1 n) in n 7.907 * [taylor]: Taking taylor expansion of n in n 7.907 * [backup-simplify]: Simplify 0 into 0 7.907 * [backup-simplify]: Simplify 1 into 1 7.908 * [backup-simplify]: Simplify (/ 1 1) into 1 7.908 * [backup-simplify]: Simplify (+ 0 1) into 1 7.908 * [taylor]: Taking taylor expansion of (pow n 2) in n 7.908 * [taylor]: Taking taylor expansion of n in n 7.908 * [backup-simplify]: Simplify 0 into 0 7.908 * [backup-simplify]: Simplify 1 into 1 7.908 * [backup-simplify]: Simplify (* 1 1) into 1 7.908 * [backup-simplify]: Simplify (* 1 1) into 1 7.909 * [backup-simplify]: Simplify (* 1 1) into 1 7.909 * [backup-simplify]: Simplify (/ 1 1) into 1 7.909 * [taylor]: Taking taylor expansion of 1 in f 7.909 * [backup-simplify]: Simplify 1 into 1 7.909 * [backup-simplify]: Simplify 0 into 0 7.909 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.910 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.910 * [backup-simplify]: Simplify (+ (/ 1 f) 0) into (/ 1 f) 7.910 * [backup-simplify]: Simplify (+ (* 1 (/ 1 f)) (* (/ 1 f) 1)) into (* 2 (/ 1 f)) 7.910 * [backup-simplify]: Simplify (+ (* 1 0) (* (* 2 (/ 1 f)) 1)) into (* 2 (/ 1 f)) 7.911 * [backup-simplify]: Simplify (- (+ (* 1 (/ (* 2 (/ 1 f)) 1)))) into (- (* 2 (/ 1 f))) 7.911 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 f))) in f 7.911 * [taylor]: Taking taylor expansion of (* 2 (/ 1 f)) in f 7.911 * [taylor]: Taking taylor expansion of 2 in f 7.911 * [backup-simplify]: Simplify 2 into 2 7.911 * [taylor]: Taking taylor expansion of (/ 1 f) in f 7.911 * [taylor]: Taking taylor expansion of f in f 7.911 * [backup-simplify]: Simplify 0 into 0 7.911 * [backup-simplify]: Simplify 1 into 1 7.911 * [backup-simplify]: Simplify (/ 1 1) into 1 7.911 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.912 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.912 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.913 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.913 * [backup-simplify]: Simplify (- 0) into 0 7.913 * [backup-simplify]: Simplify 0 into 0 7.913 * [backup-simplify]: Simplify 0 into 0 7.914 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.914 * [backup-simplify]: Simplify (- (+ (* (/ 1 f) (/ 0 f)))) into 0 7.915 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.915 * [backup-simplify]: Simplify (+ 0 0) into 0 7.916 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 f) (/ 1 f)) (* 0 1))) into (/ 1 (pow f 2)) 7.917 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (* 2 (/ 1 f)) 0) (* (/ 1 (pow f 2)) 1))) into (/ 1 (pow f 2)) 7.917 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 (pow f 2)) 1)) (* (- (* 2 (/ 1 f))) (/ (* 2 (/ 1 f)) 1)))) into (* 3 (/ 1 (pow f 2))) 7.917 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow f 2))) in f 7.917 * [taylor]: Taking taylor expansion of 3 in f 7.917 * [backup-simplify]: Simplify 3 into 3 7.917 * [taylor]: Taking taylor expansion of (/ 1 (pow f 2)) in f 7.917 * [taylor]: Taking taylor expansion of (pow f 2) in f 7.917 * [taylor]: Taking taylor expansion of f in f 7.917 * [backup-simplify]: Simplify 0 into 0 7.917 * [backup-simplify]: Simplify 1 into 1 7.918 * [backup-simplify]: Simplify (* 1 1) into 1 7.918 * [backup-simplify]: Simplify (/ 1 1) into 1 7.919 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 7.920 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.921 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.922 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.923 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.924 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.924 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.925 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.927 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 7.927 * [backup-simplify]: Simplify 0 into 0 7.928 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.929 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 7.929 * [backup-simplify]: Simplify (- 0) into 0 7.929 * [backup-simplify]: Simplify 0 into 0 7.930 * [backup-simplify]: Simplify 0 into 0 7.930 * [backup-simplify]: Simplify 0 into 0 7.930 * [backup-simplify]: Simplify (* (/ (/ 1 (- n)) (+ (/ 1 (- f)) (/ 1 (- n)))) (/ (/ 1 (- n)) (+ (/ 1 (- f)) (/ 1 (- n))))) into (/ 1 (* (pow (+ (/ 1 f) (/ 1 n)) 2) (pow n 2))) 7.930 * [approximate]: Taking taylor expansion of (/ 1 (* (pow (+ (/ 1 f) (/ 1 n)) 2) (pow n 2))) in (n f) around 0 7.930 * [taylor]: Taking taylor expansion of (/ 1 (* (pow (+ (/ 1 f) (/ 1 n)) 2) (pow n 2))) in f 7.930 * [taylor]: Taking taylor expansion of (* (pow (+ (/ 1 f) (/ 1 n)) 2) (pow n 2)) in f 7.930 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 f) (/ 1 n)) 2) in f 7.930 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 7.930 * [taylor]: Taking taylor expansion of (/ 1 f) in f 7.930 * [taylor]: Taking taylor expansion of f in f 7.930 * [backup-simplify]: Simplify 0 into 0 7.930 * [backup-simplify]: Simplify 1 into 1 7.931 * [backup-simplify]: Simplify (/ 1 1) into 1 7.931 * [taylor]: Taking taylor expansion of (/ 1 n) in f 7.931 * [taylor]: Taking taylor expansion of n in f 7.931 * [backup-simplify]: Simplify n into n 7.931 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 7.931 * [backup-simplify]: Simplify (+ 1 0) into 1 7.931 * [taylor]: Taking taylor expansion of (pow n 2) in f 7.931 * [taylor]: Taking taylor expansion of n in f 7.931 * [backup-simplify]: Simplify n into n 7.932 * [backup-simplify]: Simplify (* 1 1) into 1 7.932 * [backup-simplify]: Simplify (* n n) into (pow n 2) 7.932 * [backup-simplify]: Simplify (* 1 (pow n 2)) into (pow n 2) 7.932 * [backup-simplify]: Simplify (/ 1 (pow n 2)) into (/ 1 (pow n 2)) 7.932 * [taylor]: Taking taylor expansion of (/ 1 (* (pow (+ (/ 1 f) (/ 1 n)) 2) (pow n 2))) in n 7.932 * [taylor]: Taking taylor expansion of (* (pow (+ (/ 1 f) (/ 1 n)) 2) (pow n 2)) in n 7.932 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 f) (/ 1 n)) 2) in n 7.932 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 7.932 * [taylor]: Taking taylor expansion of (/ 1 f) in n 7.932 * [taylor]: Taking taylor expansion of f in n 7.932 * [backup-simplify]: Simplify f into f 7.932 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 7.932 * [taylor]: Taking taylor expansion of (/ 1 n) in n 7.932 * [taylor]: Taking taylor expansion of n in n 7.932 * [backup-simplify]: Simplify 0 into 0 7.932 * [backup-simplify]: Simplify 1 into 1 7.933 * [backup-simplify]: Simplify (/ 1 1) into 1 7.933 * [backup-simplify]: Simplify (+ 0 1) into 1 7.933 * [taylor]: Taking taylor expansion of (pow n 2) in n 7.933 * [taylor]: Taking taylor expansion of n in n 7.933 * [backup-simplify]: Simplify 0 into 0 7.933 * [backup-simplify]: Simplify 1 into 1 7.934 * [backup-simplify]: Simplify (* 1 1) into 1 7.934 * [backup-simplify]: Simplify (* 1 1) into 1 7.934 * [backup-simplify]: Simplify (* 1 1) into 1 7.935 * [backup-simplify]: Simplify (/ 1 1) into 1 7.935 * [taylor]: Taking taylor expansion of (/ 1 (* (pow (+ (/ 1 f) (/ 1 n)) 2) (pow n 2))) in n 7.935 * [taylor]: Taking taylor expansion of (* (pow (+ (/ 1 f) (/ 1 n)) 2) (pow n 2)) in n 7.935 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 f) (/ 1 n)) 2) in n 7.935 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 7.935 * [taylor]: Taking taylor expansion of (/ 1 f) in n 7.935 * [taylor]: Taking taylor expansion of f in n 7.935 * [backup-simplify]: Simplify f into f 7.935 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 7.935 * [taylor]: Taking taylor expansion of (/ 1 n) in n 7.935 * [taylor]: Taking taylor expansion of n in n 7.935 * [backup-simplify]: Simplify 0 into 0 7.935 * [backup-simplify]: Simplify 1 into 1 7.935 * [backup-simplify]: Simplify (/ 1 1) into 1 7.936 * [backup-simplify]: Simplify (+ 0 1) into 1 7.936 * [taylor]: Taking taylor expansion of (pow n 2) in n 7.936 * [taylor]: Taking taylor expansion of n in n 7.936 * [backup-simplify]: Simplify 0 into 0 7.936 * [backup-simplify]: Simplify 1 into 1 7.936 * [backup-simplify]: Simplify (* 1 1) into 1 7.937 * [backup-simplify]: Simplify (* 1 1) into 1 7.937 * [backup-simplify]: Simplify (* 1 1) into 1 7.937 * [backup-simplify]: Simplify (/ 1 1) into 1 7.937 * [taylor]: Taking taylor expansion of 1 in f 7.938 * [backup-simplify]: Simplify 1 into 1 7.938 * [backup-simplify]: Simplify 0 into 0 7.938 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.939 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.939 * [backup-simplify]: Simplify (+ (/ 1 f) 0) into (/ 1 f) 7.939 * [backup-simplify]: Simplify (+ (* 1 (/ 1 f)) (* (/ 1 f) 1)) into (* 2 (/ 1 f)) 7.940 * [backup-simplify]: Simplify (+ (* 1 0) (* (* 2 (/ 1 f)) 1)) into (* 2 (/ 1 f)) 7.940 * [backup-simplify]: Simplify (- (+ (* 1 (/ (* 2 (/ 1 f)) 1)))) into (- (* 2 (/ 1 f))) 7.940 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 f))) in f 7.940 * [taylor]: Taking taylor expansion of (* 2 (/ 1 f)) in f 7.940 * [taylor]: Taking taylor expansion of 2 in f 7.940 * [backup-simplify]: Simplify 2 into 2 7.940 * [taylor]: Taking taylor expansion of (/ 1 f) in f 7.940 * [taylor]: Taking taylor expansion of f in f 7.940 * [backup-simplify]: Simplify 0 into 0 7.940 * [backup-simplify]: Simplify 1 into 1 7.940 * [backup-simplify]: Simplify (/ 1 1) into 1 7.941 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.942 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.943 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.944 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.945 * [backup-simplify]: Simplify (- 0) into 0 7.945 * [backup-simplify]: Simplify 0 into 0 7.945 * [backup-simplify]: Simplify 0 into 0 7.946 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.946 * [backup-simplify]: Simplify (- (+ (* (/ 1 f) (/ 0 f)))) into 0 7.947 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.948 * [backup-simplify]: Simplify (+ 0 0) into 0 7.949 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 f) (/ 1 f)) (* 0 1))) into (/ 1 (pow f 2)) 7.949 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (* 2 (/ 1 f)) 0) (* (/ 1 (pow f 2)) 1))) into (/ 1 (pow f 2)) 7.950 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 (pow f 2)) 1)) (* (- (* 2 (/ 1 f))) (/ (* 2 (/ 1 f)) 1)))) into (* 3 (/ 1 (pow f 2))) 7.950 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow f 2))) in f 7.950 * [taylor]: Taking taylor expansion of 3 in f 7.950 * [backup-simplify]: Simplify 3 into 3 7.950 * [taylor]: Taking taylor expansion of (/ 1 (pow f 2)) in f 7.950 * [taylor]: Taking taylor expansion of (pow f 2) in f 7.950 * [taylor]: Taking taylor expansion of f in f 7.950 * [backup-simplify]: Simplify 0 into 0 7.950 * [backup-simplify]: Simplify 1 into 1 7.950 * [backup-simplify]: Simplify (* 1 1) into 1 7.951 * [backup-simplify]: Simplify (/ 1 1) into 1 7.952 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 7.953 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.954 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.955 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.956 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.957 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.958 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.959 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.960 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 7.960 * [backup-simplify]: Simplify 0 into 0 7.961 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.963 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 7.963 * [backup-simplify]: Simplify (- 0) into 0 7.963 * [backup-simplify]: Simplify 0 into 0 7.963 * [backup-simplify]: Simplify 0 into 0 7.963 * [backup-simplify]: Simplify 0 into 0 7.963 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 2 2) 7.964 * [backup-simplify]: Simplify (* (/ n (+ f n)) (/ n (+ f n))) into (/ (pow n 2) (pow (+ n f) 2)) 7.964 * [approximate]: Taking taylor expansion of (/ (pow n 2) (pow (+ n f) 2)) in (n f) around 0 7.964 * [taylor]: Taking taylor expansion of (/ (pow n 2) (pow (+ n f) 2)) in f 7.964 * [taylor]: Taking taylor expansion of (pow n 2) in f 7.964 * [taylor]: Taking taylor expansion of n in f 7.964 * [backup-simplify]: Simplify n into n 7.964 * [taylor]: Taking taylor expansion of (pow (+ n f) 2) in f 7.964 * [taylor]: Taking taylor expansion of (+ n f) in f 7.964 * [taylor]: Taking taylor expansion of n in f 7.964 * [backup-simplify]: Simplify n into n 7.964 * [taylor]: Taking taylor expansion of f in f 7.964 * [backup-simplify]: Simplify 0 into 0 7.964 * [backup-simplify]: Simplify 1 into 1 7.964 * [backup-simplify]: Simplify (+ n 0) into n 7.964 * [backup-simplify]: Simplify (* n n) into (pow n 2) 7.964 * [backup-simplify]: Simplify (* n n) into (pow n 2) 7.964 * [backup-simplify]: Simplify (/ (pow n 2) (pow n 2)) into 1 7.964 * [taylor]: Taking taylor expansion of (/ (pow n 2) (pow (+ n f) 2)) in n 7.964 * [taylor]: Taking taylor expansion of (pow n 2) in n 7.964 * [taylor]: Taking taylor expansion of n in n 7.964 * [backup-simplify]: Simplify 0 into 0 7.965 * [backup-simplify]: Simplify 1 into 1 7.965 * [taylor]: Taking taylor expansion of (pow (+ n f) 2) in n 7.965 * [taylor]: Taking taylor expansion of (+ n f) in n 7.965 * [taylor]: Taking taylor expansion of n in n 7.965 * [backup-simplify]: Simplify 0 into 0 7.965 * [backup-simplify]: Simplify 1 into 1 7.965 * [taylor]: Taking taylor expansion of f in n 7.965 * [backup-simplify]: Simplify f into f 7.965 * [backup-simplify]: Simplify (+ 0 f) into f 7.965 * [backup-simplify]: Simplify (* 1 1) into 1 7.965 * [backup-simplify]: Simplify (* f f) into (pow f 2) 7.965 * [backup-simplify]: Simplify (/ 1 (pow f 2)) into (/ 1 (pow f 2)) 7.965 * [taylor]: Taking taylor expansion of (/ (pow n 2) (pow (+ n f) 2)) in n 7.965 * [taylor]: Taking taylor expansion of (pow n 2) in n 7.965 * [taylor]: Taking taylor expansion of n in n 7.965 * [backup-simplify]: Simplify 0 into 0 7.966 * [backup-simplify]: Simplify 1 into 1 7.966 * [taylor]: Taking taylor expansion of (pow (+ n f) 2) in n 7.966 * [taylor]: Taking taylor expansion of (+ n f) in n 7.966 * [taylor]: Taking taylor expansion of n in n 7.966 * [backup-simplify]: Simplify 0 into 0 7.966 * [backup-simplify]: Simplify 1 into 1 7.966 * [taylor]: Taking taylor expansion of f in n 7.966 * [backup-simplify]: Simplify f into f 7.966 * [backup-simplify]: Simplify (+ 0 f) into f 7.966 * [backup-simplify]: Simplify (* 1 1) into 1 7.966 * [backup-simplify]: Simplify (* f f) into (pow f 2) 7.966 * [backup-simplify]: Simplify (/ 1 (pow f 2)) into (/ 1 (pow f 2)) 7.966 * [taylor]: Taking taylor expansion of (/ 1 (pow f 2)) in f 7.966 * [taylor]: Taking taylor expansion of (pow f 2) in f 7.967 * [taylor]: Taking taylor expansion of f in f 7.967 * [backup-simplify]: Simplify 0 into 0 7.967 * [backup-simplify]: Simplify 1 into 1 7.967 * [backup-simplify]: Simplify (* 1 1) into 1 7.967 * [backup-simplify]: Simplify (/ 1 1) into 1 7.968 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.969 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.970 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.971 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.971 * [backup-simplify]: Simplify 0 into 0 7.971 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.971 * [backup-simplify]: Simplify (+ 1 0) into 1 7.972 * [backup-simplify]: Simplify (+ (* f 1) (* 1 f)) into (* 2 f) 7.972 * [backup-simplify]: Simplify (- (/ 0 (pow f 2)) (+ (* (/ 1 (pow f 2)) (/ (* 2 f) (pow f 2))))) into (- (* 2 (/ 1 (pow f 3)))) 7.972 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow f 3)))) in f 7.972 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow f 3))) in f 7.972 * [taylor]: Taking taylor expansion of 2 in f 7.972 * [backup-simplify]: Simplify 2 into 2 7.972 * [taylor]: Taking taylor expansion of (/ 1 (pow f 3)) in f 7.972 * [taylor]: Taking taylor expansion of (pow f 3) in f 7.972 * [taylor]: Taking taylor expansion of f in f 7.972 * [backup-simplify]: Simplify 0 into 0 7.972 * [backup-simplify]: Simplify 1 into 1 7.972 * [backup-simplify]: Simplify (* 1 1) into 1 7.972 * [backup-simplify]: Simplify (* 1 1) into 1 7.973 * [backup-simplify]: Simplify (/ 1 1) into 1 7.973 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.974 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.974 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.975 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.975 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.976 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.976 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.977 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.977 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.978 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.978 * [backup-simplify]: Simplify (- 0) into 0 7.978 * [backup-simplify]: Simplify 0 into 0 7.979 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.979 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.979 * [backup-simplify]: Simplify 0 into 0 7.980 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.980 * [backup-simplify]: Simplify (+ 0 0) into 0 7.981 * [backup-simplify]: Simplify (+ (* f 0) (+ (* 1 1) (* 0 f))) into 1 7.981 * [backup-simplify]: Simplify (- (/ 0 (pow f 2)) (+ (* (/ 1 (pow f 2)) (/ 1 (pow f 2))) (* (- (* 2 (/ 1 (pow f 3)))) (/ (* 2 f) (pow f 2))))) into (* 3 (/ 1 (pow f 4))) 7.981 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow f 4))) in f 7.981 * [taylor]: Taking taylor expansion of 3 in f 7.981 * [backup-simplify]: Simplify 3 into 3 7.981 * [taylor]: Taking taylor expansion of (/ 1 (pow f 4)) in f 7.981 * [taylor]: Taking taylor expansion of (pow f 4) in f 7.981 * [taylor]: Taking taylor expansion of f in f 7.981 * [backup-simplify]: Simplify 0 into 0 7.981 * [backup-simplify]: Simplify 1 into 1 7.981 * [backup-simplify]: Simplify (* 1 1) into 1 7.981 * [backup-simplify]: Simplify (* 1 1) into 1 7.982 * [backup-simplify]: Simplify (/ 1 1) into 1 7.982 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 7.983 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.983 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.984 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.985 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 7.985 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.986 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.986 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.987 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.987 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.988 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.988 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.989 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 7.989 * [backup-simplify]: Simplify 0 into 0 7.990 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 7.991 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 7.991 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.992 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 7.992 * [backup-simplify]: Simplify (- 0) into 0 7.992 * [backup-simplify]: Simplify 0 into 0 7.993 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 7.993 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.994 * [backup-simplify]: Simplify 0 into 0 7.994 * [backup-simplify]: Simplify 0 into 0 7.994 * [backup-simplify]: Simplify (* (/ (/ 1 n) (+ (/ 1 f) (/ 1 n))) (/ (/ 1 n) (+ (/ 1 f) (/ 1 n)))) into (/ 1 (* (pow (+ (/ 1 f) (/ 1 n)) 2) (pow n 2))) 7.994 * [approximate]: Taking taylor expansion of (/ 1 (* (pow (+ (/ 1 f) (/ 1 n)) 2) (pow n 2))) in (n f) around 0 7.994 * [taylor]: Taking taylor expansion of (/ 1 (* (pow (+ (/ 1 f) (/ 1 n)) 2) (pow n 2))) in f 7.994 * [taylor]: Taking taylor expansion of (* (pow (+ (/ 1 f) (/ 1 n)) 2) (pow n 2)) in f 7.994 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 f) (/ 1 n)) 2) in f 7.994 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 7.994 * [taylor]: Taking taylor expansion of (/ 1 f) in f 7.994 * [taylor]: Taking taylor expansion of f in f 7.994 * [backup-simplify]: Simplify 0 into 0 7.994 * [backup-simplify]: Simplify 1 into 1 7.994 * [backup-simplify]: Simplify (/ 1 1) into 1 7.994 * [taylor]: Taking taylor expansion of (/ 1 n) in f 7.994 * [taylor]: Taking taylor expansion of n in f 7.994 * [backup-simplify]: Simplify n into n 7.994 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 7.995 * [backup-simplify]: Simplify (+ 1 0) into 1 7.995 * [taylor]: Taking taylor expansion of (pow n 2) in f 7.995 * [taylor]: Taking taylor expansion of n in f 7.995 * [backup-simplify]: Simplify n into n 7.995 * [backup-simplify]: Simplify (* 1 1) into 1 7.995 * [backup-simplify]: Simplify (* n n) into (pow n 2) 7.995 * [backup-simplify]: Simplify (* 1 (pow n 2)) into (pow n 2) 7.995 * [backup-simplify]: Simplify (/ 1 (pow n 2)) into (/ 1 (pow n 2)) 7.995 * [taylor]: Taking taylor expansion of (/ 1 (* (pow (+ (/ 1 f) (/ 1 n)) 2) (pow n 2))) in n 7.995 * [taylor]: Taking taylor expansion of (* (pow (+ (/ 1 f) (/ 1 n)) 2) (pow n 2)) in n 7.995 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 f) (/ 1 n)) 2) in n 7.995 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 7.995 * [taylor]: Taking taylor expansion of (/ 1 f) in n 7.995 * [taylor]: Taking taylor expansion of f in n 7.995 * [backup-simplify]: Simplify f into f 7.995 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 7.995 * [taylor]: Taking taylor expansion of (/ 1 n) in n 7.995 * [taylor]: Taking taylor expansion of n in n 7.995 * [backup-simplify]: Simplify 0 into 0 7.995 * [backup-simplify]: Simplify 1 into 1 7.995 * [backup-simplify]: Simplify (/ 1 1) into 1 7.996 * [backup-simplify]: Simplify (+ 0 1) into 1 7.996 * [taylor]: Taking taylor expansion of (pow n 2) in n 7.996 * [taylor]: Taking taylor expansion of n in n 7.996 * [backup-simplify]: Simplify 0 into 0 7.996 * [backup-simplify]: Simplify 1 into 1 7.996 * [backup-simplify]: Simplify (* 1 1) into 1 7.996 * [backup-simplify]: Simplify (* 1 1) into 1 7.997 * [backup-simplify]: Simplify (* 1 1) into 1 7.997 * [backup-simplify]: Simplify (/ 1 1) into 1 7.997 * [taylor]: Taking taylor expansion of (/ 1 (* (pow (+ (/ 1 f) (/ 1 n)) 2) (pow n 2))) in n 7.997 * [taylor]: Taking taylor expansion of (* (pow (+ (/ 1 f) (/ 1 n)) 2) (pow n 2)) in n 7.997 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 f) (/ 1 n)) 2) in n 7.997 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 7.997 * [taylor]: Taking taylor expansion of (/ 1 f) in n 7.997 * [taylor]: Taking taylor expansion of f in n 7.997 * [backup-simplify]: Simplify f into f 7.997 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 7.997 * [taylor]: Taking taylor expansion of (/ 1 n) in n 7.997 * [taylor]: Taking taylor expansion of n in n 7.997 * [backup-simplify]: Simplify 0 into 0 7.997 * [backup-simplify]: Simplify 1 into 1 7.997 * [backup-simplify]: Simplify (/ 1 1) into 1 7.997 * [backup-simplify]: Simplify (+ 0 1) into 1 7.998 * [taylor]: Taking taylor expansion of (pow n 2) in n 7.998 * [taylor]: Taking taylor expansion of n in n 7.998 * [backup-simplify]: Simplify 0 into 0 7.998 * [backup-simplify]: Simplify 1 into 1 7.998 * [backup-simplify]: Simplify (* 1 1) into 1 7.998 * [backup-simplify]: Simplify (* 1 1) into 1 7.998 * [backup-simplify]: Simplify (* 1 1) into 1 7.999 * [backup-simplify]: Simplify (/ 1 1) into 1 7.999 * [taylor]: Taking taylor expansion of 1 in f 7.999 * [backup-simplify]: Simplify 1 into 1 7.999 * [backup-simplify]: Simplify 0 into 0 7.999 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.000 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.000 * [backup-simplify]: Simplify (+ (/ 1 f) 0) into (/ 1 f) 8.001 * [backup-simplify]: Simplify (+ (* 1 (/ 1 f)) (* (/ 1 f) 1)) into (* 2 (/ 1 f)) 8.001 * [backup-simplify]: Simplify (+ (* 1 0) (* (* 2 (/ 1 f)) 1)) into (* 2 (/ 1 f)) 8.001 * [backup-simplify]: Simplify (- (+ (* 1 (/ (* 2 (/ 1 f)) 1)))) into (- (* 2 (/ 1 f))) 8.001 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 f))) in f 8.001 * [taylor]: Taking taylor expansion of (* 2 (/ 1 f)) in f 8.001 * [taylor]: Taking taylor expansion of 2 in f 8.001 * [backup-simplify]: Simplify 2 into 2 8.001 * [taylor]: Taking taylor expansion of (/ 1 f) in f 8.001 * [taylor]: Taking taylor expansion of f in f 8.001 * [backup-simplify]: Simplify 0 into 0 8.001 * [backup-simplify]: Simplify 1 into 1 8.002 * [backup-simplify]: Simplify (/ 1 1) into 1 8.003 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.004 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.005 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.006 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.006 * [backup-simplify]: Simplify (- 0) into 0 8.006 * [backup-simplify]: Simplify 0 into 0 8.006 * [backup-simplify]: Simplify 0 into 0 8.007 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.008 * [backup-simplify]: Simplify (- (+ (* (/ 1 f) (/ 0 f)))) into 0 8.009 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.009 * [backup-simplify]: Simplify (+ 0 0) into 0 8.010 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 f) (/ 1 f)) (* 0 1))) into (/ 1 (pow f 2)) 8.011 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (* 2 (/ 1 f)) 0) (* (/ 1 (pow f 2)) 1))) into (/ 1 (pow f 2)) 8.011 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 (pow f 2)) 1)) (* (- (* 2 (/ 1 f))) (/ (* 2 (/ 1 f)) 1)))) into (* 3 (/ 1 (pow f 2))) 8.011 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow f 2))) in f 8.011 * [taylor]: Taking taylor expansion of 3 in f 8.011 * [backup-simplify]: Simplify 3 into 3 8.011 * [taylor]: Taking taylor expansion of (/ 1 (pow f 2)) in f 8.011 * [taylor]: Taking taylor expansion of (pow f 2) in f 8.011 * [taylor]: Taking taylor expansion of f in f 8.011 * [backup-simplify]: Simplify 0 into 0 8.011 * [backup-simplify]: Simplify 1 into 1 8.012 * [backup-simplify]: Simplify (* 1 1) into 1 8.012 * [backup-simplify]: Simplify (/ 1 1) into 1 8.014 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 8.014 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.015 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.021 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.023 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.024 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.025 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.026 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.027 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 8.027 * [backup-simplify]: Simplify 0 into 0 8.028 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.030 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 8.030 * [backup-simplify]: Simplify (- 0) into 0 8.030 * [backup-simplify]: Simplify 0 into 0 8.030 * [backup-simplify]: Simplify 0 into 0 8.030 * [backup-simplify]: Simplify 0 into 0 8.031 * [backup-simplify]: Simplify (* (/ (/ 1 (- n)) (+ (/ 1 (- f)) (/ 1 (- n)))) (/ (/ 1 (- n)) (+ (/ 1 (- f)) (/ 1 (- n))))) into (/ 1 (* (pow (+ (/ 1 f) (/ 1 n)) 2) (pow n 2))) 8.031 * [approximate]: Taking taylor expansion of (/ 1 (* (pow (+ (/ 1 f) (/ 1 n)) 2) (pow n 2))) in (n f) around 0 8.031 * [taylor]: Taking taylor expansion of (/ 1 (* (pow (+ (/ 1 f) (/ 1 n)) 2) (pow n 2))) in f 8.031 * [taylor]: Taking taylor expansion of (* (pow (+ (/ 1 f) (/ 1 n)) 2) (pow n 2)) in f 8.031 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 f) (/ 1 n)) 2) in f 8.031 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 8.031 * [taylor]: Taking taylor expansion of (/ 1 f) in f 8.031 * [taylor]: Taking taylor expansion of f in f 8.031 * [backup-simplify]: Simplify 0 into 0 8.031 * [backup-simplify]: Simplify 1 into 1 8.032 * [backup-simplify]: Simplify (/ 1 1) into 1 8.032 * [taylor]: Taking taylor expansion of (/ 1 n) in f 8.032 * [taylor]: Taking taylor expansion of n in f 8.032 * [backup-simplify]: Simplify n into n 8.032 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 8.032 * [backup-simplify]: Simplify (+ 1 0) into 1 8.032 * [taylor]: Taking taylor expansion of (pow n 2) in f 8.032 * [taylor]: Taking taylor expansion of n in f 8.032 * [backup-simplify]: Simplify n into n 8.033 * [backup-simplify]: Simplify (* 1 1) into 1 8.033 * [backup-simplify]: Simplify (* n n) into (pow n 2) 8.033 * [backup-simplify]: Simplify (* 1 (pow n 2)) into (pow n 2) 8.033 * [backup-simplify]: Simplify (/ 1 (pow n 2)) into (/ 1 (pow n 2)) 8.033 * [taylor]: Taking taylor expansion of (/ 1 (* (pow (+ (/ 1 f) (/ 1 n)) 2) (pow n 2))) in n 8.033 * [taylor]: Taking taylor expansion of (* (pow (+ (/ 1 f) (/ 1 n)) 2) (pow n 2)) in n 8.033 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 f) (/ 1 n)) 2) in n 8.033 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 8.033 * [taylor]: Taking taylor expansion of (/ 1 f) in n 8.033 * [taylor]: Taking taylor expansion of f in n 8.033 * [backup-simplify]: Simplify f into f 8.033 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 8.033 * [taylor]: Taking taylor expansion of (/ 1 n) in n 8.033 * [taylor]: Taking taylor expansion of n in n 8.033 * [backup-simplify]: Simplify 0 into 0 8.033 * [backup-simplify]: Simplify 1 into 1 8.034 * [backup-simplify]: Simplify (/ 1 1) into 1 8.035 * [backup-simplify]: Simplify (+ 0 1) into 1 8.035 * [taylor]: Taking taylor expansion of (pow n 2) in n 8.035 * [taylor]: Taking taylor expansion of n in n 8.035 * [backup-simplify]: Simplify 0 into 0 8.035 * [backup-simplify]: Simplify 1 into 1 8.035 * [backup-simplify]: Simplify (* 1 1) into 1 8.035 * [backup-simplify]: Simplify (* 1 1) into 1 8.036 * [backup-simplify]: Simplify (* 1 1) into 1 8.036 * [backup-simplify]: Simplify (/ 1 1) into 1 8.036 * [taylor]: Taking taylor expansion of (/ 1 (* (pow (+ (/ 1 f) (/ 1 n)) 2) (pow n 2))) in n 8.036 * [taylor]: Taking taylor expansion of (* (pow (+ (/ 1 f) (/ 1 n)) 2) (pow n 2)) in n 8.036 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 f) (/ 1 n)) 2) in n 8.036 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 8.037 * [taylor]: Taking taylor expansion of (/ 1 f) in n 8.037 * [taylor]: Taking taylor expansion of f in n 8.037 * [backup-simplify]: Simplify f into f 8.037 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 8.037 * [taylor]: Taking taylor expansion of (/ 1 n) in n 8.037 * [taylor]: Taking taylor expansion of n in n 8.037 * [backup-simplify]: Simplify 0 into 0 8.037 * [backup-simplify]: Simplify 1 into 1 8.037 * [backup-simplify]: Simplify (/ 1 1) into 1 8.038 * [backup-simplify]: Simplify (+ 0 1) into 1 8.038 * [taylor]: Taking taylor expansion of (pow n 2) in n 8.038 * [taylor]: Taking taylor expansion of n in n 8.038 * [backup-simplify]: Simplify 0 into 0 8.038 * [backup-simplify]: Simplify 1 into 1 8.038 * [backup-simplify]: Simplify (* 1 1) into 1 8.039 * [backup-simplify]: Simplify (* 1 1) into 1 8.039 * [backup-simplify]: Simplify (* 1 1) into 1 8.039 * [backup-simplify]: Simplify (/ 1 1) into 1 8.039 * [taylor]: Taking taylor expansion of 1 in f 8.040 * [backup-simplify]: Simplify 1 into 1 8.040 * [backup-simplify]: Simplify 0 into 0 8.040 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.041 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.041 * [backup-simplify]: Simplify (+ (/ 1 f) 0) into (/ 1 f) 8.041 * [backup-simplify]: Simplify (+ (* 1 (/ 1 f)) (* (/ 1 f) 1)) into (* 2 (/ 1 f)) 8.042 * [backup-simplify]: Simplify (+ (* 1 0) (* (* 2 (/ 1 f)) 1)) into (* 2 (/ 1 f)) 8.042 * [backup-simplify]: Simplify (- (+ (* 1 (/ (* 2 (/ 1 f)) 1)))) into (- (* 2 (/ 1 f))) 8.042 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 f))) in f 8.042 * [taylor]: Taking taylor expansion of (* 2 (/ 1 f)) in f 8.042 * [taylor]: Taking taylor expansion of 2 in f 8.042 * [backup-simplify]: Simplify 2 into 2 8.042 * [taylor]: Taking taylor expansion of (/ 1 f) in f 8.042 * [taylor]: Taking taylor expansion of f in f 8.042 * [backup-simplify]: Simplify 0 into 0 8.042 * [backup-simplify]: Simplify 1 into 1 8.043 * [backup-simplify]: Simplify (/ 1 1) into 1 8.044 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.045 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.046 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.047 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.047 * [backup-simplify]: Simplify (- 0) into 0 8.047 * [backup-simplify]: Simplify 0 into 0 8.047 * [backup-simplify]: Simplify 0 into 0 8.048 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.048 * [backup-simplify]: Simplify (- (+ (* (/ 1 f) (/ 0 f)))) into 0 8.049 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.050 * [backup-simplify]: Simplify (+ 0 0) into 0 8.051 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 f) (/ 1 f)) (* 0 1))) into (/ 1 (pow f 2)) 8.051 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (* 2 (/ 1 f)) 0) (* (/ 1 (pow f 2)) 1))) into (/ 1 (pow f 2)) 8.052 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 (pow f 2)) 1)) (* (- (* 2 (/ 1 f))) (/ (* 2 (/ 1 f)) 1)))) into (* 3 (/ 1 (pow f 2))) 8.052 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow f 2))) in f 8.052 * [taylor]: Taking taylor expansion of 3 in f 8.052 * [backup-simplify]: Simplify 3 into 3 8.052 * [taylor]: Taking taylor expansion of (/ 1 (pow f 2)) in f 8.052 * [taylor]: Taking taylor expansion of (pow f 2) in f 8.052 * [taylor]: Taking taylor expansion of f in f 8.052 * [backup-simplify]: Simplify 0 into 0 8.052 * [backup-simplify]: Simplify 1 into 1 8.053 * [backup-simplify]: Simplify (* 1 1) into 1 8.053 * [backup-simplify]: Simplify (/ 1 1) into 1 8.054 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 8.055 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.056 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.057 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.058 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.059 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.060 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.061 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.062 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 8.062 * [backup-simplify]: Simplify 0 into 0 8.063 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.065 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 8.065 * [backup-simplify]: Simplify (- 0) into 0 8.065 * [backup-simplify]: Simplify 0 into 0 8.065 * [backup-simplify]: Simplify 0 into 0 8.065 * [backup-simplify]: Simplify 0 into 0 8.065 * * * [progress]: simplifying candidates 8.065 * * * * [progress]: [ 1 / 368 ] simplifiying candidate # 8.065 * * * * [progress]: [ 2 / 368 ] simplifiying candidate # 8.066 * * * * [progress]: [ 3 / 368 ] simplifiying candidate # 8.066 * * * * [progress]: [ 4 / 368 ] simplifiying candidate # 8.066 * * * * [progress]: [ 5 / 368 ] simplifiying candidate # 8.066 * * * * [progress]: [ 6 / 368 ] simplifiying candidate # 8.066 * * * * [progress]: [ 7 / 368 ] simplifiying candidate # 8.066 * * * * [progress]: [ 8 / 368 ] 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simplifiying candidate # 8.074 * * * * [progress]: [ 87 / 368 ] simplifiying candidate # 8.074 * * * * [progress]: [ 88 / 368 ] simplifiying candidate #real (real->posit16 (* (/ f (+ f n)) (/ f (+ f n))))) (+ (* (/ n (+ f n)) (/ n (+ f n))) (* (/ f (+ f n)) (/ n (+ f n))))))))> 8.074 * * * * [progress]: [ 89 / 368 ] simplifiying candidate # 8.074 * * * * [progress]: [ 90 / 368 ] simplifiying candidate # 8.074 * * * * [progress]: [ 91 / 368 ] simplifiying candidate # 8.074 * * * * [progress]: [ 92 / 368 ] simplifiying candidate # 8.074 * * * * [progress]: [ 93 / 368 ] simplifiying candidate # 8.074 * * * * [progress]: [ 94 / 368 ] simplifiying candidate # 8.074 * * * * [progress]: [ 95 / 368 ] simplifiying candidate # 8.074 * * * * [progress]: [ 96 / 368 ] simplifiying candidate # 8.074 * * * * [progress]: [ 97 / 368 ] simplifiying candidate # 8.075 * * * * [progress]: [ 98 / 368 ] simplifiying candidate # 8.075 * * * * [progress]: [ 99 / 368 ] simplifiying candidate # 8.075 * * * * 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8.081 * * * * [progress]: [ 177 / 368 ] simplifiying candidate #real (real->posit16 (* (/ f (+ f n)) (/ f (+ f n)))))) (* (/ n (+ f n)) (* (/ n (+ f n)) (/ n (+ f n))))) (+ (* (/ f (+ f n)) (/ f (+ f n))) (+ (* (/ n (+ f n)) (/ n (+ f n))) (* (/ f (+ f n)) (/ n (+ f n))))))))> 8.081 * * * * [progress]: [ 178 / 368 ] simplifiying candidate # 8.081 * * * * [progress]: [ 179 / 368 ] simplifiying candidate # 8.081 * * * * [progress]: [ 180 / 368 ] simplifiying candidate # 8.081 * * * * [progress]: [ 181 / 368 ] simplifiying candidate # 8.081 * * * * [progress]: [ 182 / 368 ] simplifiying candidate # 8.081 * * * * [progress]: [ 183 / 368 ] simplifiying candidate # 8.081 * * * * [progress]: [ 184 / 368 ] simplifiying candidate # 8.081 * * * * [progress]: [ 185 / 368 ] simplifiying candidate # 8.081 * * * * [progress]: [ 186 / 368 ] simplifiying candidate # 8.081 * * * * [progress]: [ 187 / 368 ] simplifiying candidate # 8.081 * * * * [progress]: [ 188 / 368 ] simplifiying candidate # 8.081 * 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8.086 * * * * [progress]: [ 266 / 368 ] simplifiying candidate #real (real->posit16 (* (/ n (+ f n)) (/ n (+ f n))))) (* (/ f (+ f n)) (/ n (+ f n))))))))> 8.086 * * * * [progress]: [ 267 / 368 ] simplifiying candidate # 8.086 * * * * [progress]: [ 268 / 368 ] simplifiying candidate # 8.086 * * * * [progress]: [ 269 / 368 ] simplifiying candidate # 8.086 * * * * [progress]: [ 270 / 368 ] simplifiying candidate # 8.086 * * * * [progress]: [ 271 / 368 ] simplifiying candidate # 8.086 * * * * [progress]: [ 272 / 368 ] simplifiying candidate # 8.086 * * * * [progress]: [ 273 / 368 ] simplifiying candidate # 8.086 * * * * [progress]: [ 274 / 368 ] simplifiying candidate # 8.086 * * * * [progress]: [ 275 / 368 ] simplifiying candidate # 8.086 * * * * [progress]: [ 276 / 368 ] simplifiying candidate # 8.086 * * * * [progress]: [ 277 / 368 ] simplifiying candidate # 8.086 * * * * [progress]: [ 278 / 368 ] simplifiying candidate # 8.086 * * * * [progress]: [ 279 / 368 ] simplifiying candidate # 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[ 341 / 368 ] simplifiying candidate # 8.090 * * * * [progress]: [ 342 / 368 ] simplifiying candidate # 8.090 * * * * [progress]: [ 343 / 368 ] simplifiying candidate # 8.090 * * * * [progress]: [ 344 / 368 ] simplifiying candidate # 8.090 * * * * [progress]: [ 345 / 368 ] simplifiying candidate # 8.090 * * * * [progress]: [ 346 / 368 ] simplifiying candidate # 8.090 * * * * [progress]: [ 347 / 368 ] simplifiying candidate # 8.090 * * * * [progress]: [ 348 / 368 ] simplifiying candidate # 8.090 * * * * [progress]: [ 349 / 368 ] simplifiying candidate # 8.090 * * * * [progress]: [ 350 / 368 ] simplifiying candidate # 8.090 * * * * [progress]: [ 351 / 368 ] simplifiying candidate # 8.090 * * * * [progress]: [ 352 / 368 ] simplifiying candidate # 8.090 * * * * [progress]: [ 353 / 368 ] simplifiying candidate # 8.090 * * * * [progress]: [ 354 / 368 ] simplifiying candidate # 8.090 * * * * [progress]: [ 355 / 368 ] simplifiying candidate #real (real->posit16 (* (/ n (+ f n)) (/ n (+ f n))))))) (+ (* (/ f (+ f n)) (/ f (+ f n))) (+ (* (/ n (+ f n)) (/ n (+ f n))) (* (/ f (+ f n)) (/ n (+ f n))))))))> 8.090 * * * * [progress]: [ 356 / 368 ] simplifiying candidate # 8.090 * * * * [progress]: [ 357 / 368 ] simplifiying candidate # 8.090 * * * * [progress]: [ 358 / 368 ] simplifiying candidate # 8.090 * * * * [progress]: [ 359 / 368 ] simplifiying candidate # 8.090 * * * * [progress]: [ 360 / 368 ] simplifiying candidate # 8.090 * * * * [progress]: [ 361 / 368 ] simplifiying candidate # 8.090 * * * * [progress]: [ 362 / 368 ] simplifiying candidate # 8.091 * * * * [progress]: [ 363 / 368 ] simplifiying candidate # 8.091 * * * * [progress]: [ 364 / 368 ] simplifiying candidate # 8.091 * * * * [progress]: [ 365 / 368 ] simplifiying candidate # 8.091 * * * * [progress]: [ 366 / 368 ] simplifiying candidate # 8.091 * * * * [progress]: [ 367 / 368 ] simplifiying candidate # 8.091 * * * * [progress]: [ 368 / 368 ] simplifiying candidate # 8.094 * [simplify]: Simplifying: (+ 1 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(sqrt n)) (+ n f)) (sqrt (+ n f))) (/ (/ (* n (sqrt n)) (+ n f)) (+ n f)) (/ (/ (* n (sqrt n)) (+ n f)) (+ n f)) (/ (* n (/ n (cbrt (+ n f)))) (+ n f)) (/ (* (/ n (+ n f)) n) (sqrt (+ n f))) (* (/ n (+ n f)) (/ n (+ n f))) (* (/ n (+ n f)) (/ n (+ n f))) (* (/ n (+ n f)) (/ n (+ n f))) (/ (/ n (+ n f)) (+ n f)) (* (/ n (+ n f)) (+ (* f f) (* n (- n f)))) (/ (* (- f n) n) (+ n f)) (/ (* n n) (+ n f)) (/ (* n n) (+ n f)) (real->posit16 (* (/ n (+ n f)) (/ n (+ n f)))) 0 0 0 0 0 0 0 0 0 0 0 0 9.078 * * * [progress]: adding candidates to table 11.070 * [progress]: [Phase 3 of 3] Extracting. 11.071 * * [regime]: Finding splitpoints for: (# # #) 11.072 * * * [regime-changes]: Trying 2 branch expressions: (n f) 11.073 * * * * [regimes]: Trying to branch on n from (# # #) 11.104 * * * * [regimes]: Trying to branch on f from (# # #) 11.136 * * * [regime]: Found split indices: #